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### Human: Problem: Compare the values of the two fractions below by filling in the blank with <, >, or =.
(9 / 3) _ (7 / 1)
Solution: To compare the fractions, we can simplify them by dividing the numerator and the denominator by their greatest common divisor (GCD).
For the first fraction, the GCD of 9 and 3 is 3. ... | 46 |
### Human: Problem: Compare the values of the two fractions below by filling in the blank with <, >, or =.
(9 / 3) _ (7 / 1)
Solution: To compare the fractions, I will simplify them by dividing the numerator and the denominator by their greatest common divisor (GCD).\n\nFor the first fraction, the GCD of 9 and 3 is 3,... | 47 |
### Human: Problem: Compare the values of the two fractions below by filling in the blank with <, >, or =.
(9 / 3) _ (7 / 1)
Solution: To compare the fractions, we need to find a common denominator. Since 3 and 1 are already relatively simple, we can simply multiply the denominators to find the least common multiple, ... | 76 |
### Human: Problem: Compare the values of the two fractions below by filling in the blank with <, >, or =.
(9 / 3) _ (7 / 1)
Solution: To compare the fractions, we can simplify them by dividing the numerator and denominator by their greatest common divisor (GCD).\n\nFor the first fraction, the GCD of 9 and 3 is 3. So,... | 77 |
### Human: Problem: Compare the values of the two fractions by filling in the blank with <, >, or =. Here are the fractions:
(3 / 2) _ (9 / 10)
Solution: To compare the fractions, we need to compare the values of the numerators relative to the denominators. The fraction with the larger numerator or the smaller denomina... | 91 |
### Human: Problem: Compare the following two fractions by filling in the blank with <, >, or =:
(3 / 7) _ (5 / 8)
Solution: To compare the fractions, we need to find a common denominator, which is the least common multiple (LCM) of the denominators 7 and 8. The LCM of 7 and 8 is 56.\n\nNow we can convert both fractio... | 247 |
### Human: Problem: Compare the following two fractions by filling in the blank with <, >, or =:
(3 / 7) _ (5 / 8)
Solution: To compare the fractions, we need to find a common denominator. The least common multiple (LCM) of 7 and 8 is 56. Then, we can convert both fractions to have the same denominator:\n\n(3 / 7) = (... | 256 |
### Human: Problem: Compare the following two fractions by filling in the blank with <, >, or =:
(3 / 7) _ (5 / 8)
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators, which is 56 (since 7 x 8 = 56). Then, we can convert both fractions to have the same denominator:\n... | 257 |
### Human: Problem: Compare the following two fractions by filling in the blank with <, >, or =:
(3 / 7) _ (5 / 8)
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators. The LCM of 7 and 8 is 56.\n\nNow, we can convert both fractions to have the same denominator:\n\n(3... | 265 |
### Human: Problem: Compare the following two fractions by filling in the blank with <, >, or =:
(3 / 7) _ (5 / 8)
Solution: To compare the fractions, we need to find a common denominator. The least common multiple (LCM) of 7 and 8 is 56. Then, we can convert both fractions to have the same denominator:\n\n(3 / 7) = (... | 270 |
### Human: Problem: Compare the following two fractions by filling in the blank with <, >, or =:
(3 / 7) _ (5 / 8)
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators, which is 56 (the LCM of 7 and 8). Then, we can convert both fractions to have the same denominator:... | 272 |
### Human: Problem: Question:
Compare these two fractions:
(3 / 1) _ (5 / 9)
Hint: Fill the blank with one of the following: <, >, or =.
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators. However, in this case, one of the fractions has a denominator of 1, which me... | 281 |
### Human: Problem: Question:
Compare these two fractions:
(3 / 1) _ (5 / 9)
Hint: Fill the blank with one of the following: <, >, or =.
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators. However, in this case, one of the denominators is 1, which is already a fact... | 289 |
### Human: Problem: Question:
Compare these two fractions:
(3 / 1) _ (5 / 9)
Hint: Fill the blank with one of the following: <, >, or =.
Solution: To compare the fractions, we can convert them to equivalent decimals or compare the numerators and denominators directly.\n\nThe fraction (3 / 1) can be simplified to 3, s... | 291 |
### Human: Problem: Question:
Compare these two fractions:
(3 / 1) _ (5 / 9)
Hint: Fill the blank with one of the following: <, >, or =.
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators, but in this case, we can directly compare the fractions because one has a de... | 292 |
### Human: Problem: Question:
Compare these two fractions:
(3 / 1) _ (5 / 9)
Hint: Fill the blank with one of the following: <, >, or =.
Solution: To compare the fractions, we can compare the numerators and denominators separately.\n\nThe numerator of the first fraction is 3, and the numerator of the second fraction ... | 299 |
### Human: Problem: Question:
Compare these two fractions:
(3 / 1) _ (5 / 9)
Hint: Fill the blank with one of the following: <, >, or =.
Solution: To compare the fractions, we need to compare the numerators because the denominators are different. In this case, the denominator of the first fraction is 1, which is less... | 301 |
### Human: Problem: Question:
Compare these two fractions:
(3 / 1) _ (5 / 9)
Hint: Fill the blank with one of the following: <, >, or =.
Solution: To compare the fractions, we need to compare their equivalent decimals or simplify them if possible. However, we can also compare the fractions directly by converting them... | 315 |
### Human: Problem: Question:
Compare these two fractions:
(3 / 1) _ (5 / 9)
Hint: Fill the blank with one of the following: <, >, or =.
Solution: To compare the fractions, we can first simplify them if possible. However, in this case, the denominators are different, so we can convert them to equivalent fractions wit... | 319 |
### Human: Problem: Compare the following fractions by inserting "<", ">" or "=" between them.
(7 / 6) _ (9 / 6)
Solution: To compare the fractions, we can first simplify them by dividing both the numerator and the denominator by their greatest common divisor, which is 3.
(7 / 6) = (7/3)/ (2/3) = (7/3)
(9 / 6) = (9/... | 340 |
### Human: Problem: Fill in the blank in the following question with <, >, or = :
(2 / 7) _ (2 / 9)
to express whether the first fraction is greater than, less than, or equal to the second fraction.
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators, which is 63.... | 376 |
### Human: Problem: Fill in the blank with one of the symbols <, >, or = to complete the comparison between the two fractions.
(4 / 8) _ (2 / 1)
Solution: To compare the fractions, we need to find a common denominator. Both fractions already have denominators of 8, so we can compare them directly:\n\n(4 / 8) and (2 /... | 408 |
### Human: Problem: Fill in the blank with either <, >, or = in the following expression:
(9 / 9) _ (8 / 9),
to properly compare the two fractions.
Solution: To compare the fractions, we need to compare the numerators since the denominators are the same:\n\n9 = 8\n\nSince the numerators are equal, the fractions are equ... | 441 |
### Human: Problem: Fill in the blank with either <, >, or = in the following expression:
(9 / 9) _ (8 / 9),
to properly compare the two fractions.
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators, which is 9. Both fractions already have the same denominator, so we... | 444 |
### Human: Problem: Fill in the blank with either <, >, or = in the following expression:
(9 / 9) _ (8 / 9),
to properly compare the two fractions.
Solution: To compare the fractions, we need to find an equivalent fraction for both, since they already have the same denominator.\n\nBoth fractions already have 9 as the d... | 448 |
### Human: Problem: Fill in the blank with either <, >, or = in the following expression:
(9 / 9) _ (8 / 9),
to properly compare the two fractions.
Solution: To compare the fractions, we can simply compare the numerators since they have the same denominator:\n\n9 = 8\n\nThey are equal, so the correct comparison is:\n\n... | 454 |
### Human: Problem: Fill in the blank with either <, >, or = in the following expression:
(9 / 9) _ (8 / 9),
to properly compare the two fractions.
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators, which is 9. Both fractions already have the same denominator, so we... | 455 |
### Human: Problem: Fill in the blank with either <, >, or = in the following expression:
(9 / 9) _ (8 / 9),
to properly compare the two fractions.
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators, which is 9. Then, we can convert both fractions to have the same de... | 458 |
### Human: Problem: Fill in the blank with either <, >, or = in the following expression:
(9 / 9) _ (8 / 9),
to properly compare the two fractions.
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators, which is 9. Then, we can convert both fractions to have the same de... | 460 |
### Human: Problem: Fill in the blank with either <, >, or = in the following expression:
(9 / 9) _ (8 / 9),
to properly compare the two fractions.
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators, which is 9. Then, we can convert both fractions to have the same de... | 461 |
### Human: Problem: Fill in the blank with either <, >, or = in the following expression:
(9 / 9) _ (8 / 9),
to properly compare the two fractions.
Solution: To compare the fractions, we can simplify them by dividing the numerator by the denominator. If the numerator and denominator have the same value, the fraction si... | 462 |
### Human: Problem: Fill in the blank with either <, >, or = in the following expression:
(9 / 9) _ (8 / 9),
to properly compare the two fractions.
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators, which is 9. Then, we can convert both fractions to have the same de... | 463 |
### Human: Problem: Fill in the blank with either <, >, or = in the following expression:
(9 / 9) _ (8 / 9),
to properly compare the two fractions.
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators, which is 9. Then, we can convert both fractions to have the same de... | 464 |
### Human: Problem: Fill in the blank with either <, >, or = in the following expression:
(9 / 9) _ (8 / 9),
to properly compare the two fractions.
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators, which is 9. Then, we can convert both fractions to have the same de... | 465 |
### Human: Problem: Fill in the blank with either <, >, or = in the following expression:
(9 / 9) _ (8 / 9),
to properly compare the two fractions.
Solution: To compare the fractions, we can simplify or convert them to have the same denominator. In this case, both fractions already have the same denominator, 9. Now, we... | 468 |
### Human: Problem: Fill in the blank with either <, >, or = in the following expression:
(9 / 9) _ (8 / 9),
to properly compare the two fractions.
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators, which is 9. Then, we can convert both fractions to have the same de... | 473 |
### Human: Problem: Fill in the blank with either <, >, or = in the following expression:
(9 / 9) _ (8 / 9),
to properly compare the two fractions.
Solution: To compare the fractions, we can simply compare the numerators since the denominators are the same:\n\n9 = 8\n\nSince the numerators are equal, the fractions are ... | 474 |
### Human: Problem: Fill in the blank with either <, >, or = in the following expression:
(9 / 9) _ (8 / 9),
to properly compare the two fractions.
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators, which is 9. Both fractions already have the same denominator, so we... | 475 |
### Human: Problem: Compare the values of the following fractions by filling in the blank with <, >, or =.
(6 / 5) _ (7 / 10)
Solution: To compare the fractions, we need to find a common denominator. The least common multiple (LCM) of 5 and 10 is 10. So, we can convert the first fraction to have a denominator of 10:\n\... | 526 |
### Human: Problem: Please fill in the blank with <, >, or = to compare the following fractions.
(5 / 4) _ (9 / 8)
Solution: To compare the fractions, we need to compare their values. We can do this by converting them to equivalent fractions with a common denominator. The least common multiple (LCM) of 4 and 8 is 8.
... | 616 |
### Human: Problem: Please fill in the blank with <, >, or = to compare the following fractions.
(5 / 4) _ (9 / 8)
Solution: To compare the fractions, we need to compare the fractions first as they are\n\n(5 / 4) and (9 / 8) are not equivalent in value. To compare we can convert both into equivalent decimals or a commo... | 617 |
### Human: Problem: Please fill in the blank with <, >, or = to compare the following fractions.
(5 / 4) _ (9 / 8)
Solution: To compare the fractions, we need to find a common denominator. The least common multiple (LCM) of 4 and 8 is 8. Then, we can convert both fractions to have the same denominator:
(5 / 4) = (10 /... | 629 |
### Human: Problem: Please fill in the blank with <, >, or = to compare the following fractions.
(5 / 4) _ (9 / 8)
Solution: To compare the fractions, we can convert them to equivalent decimals or find the least common multiple (LCM) of the denominators. The LCM of 4 and 8 is 8. We can convert (5 / 4) to have a denomin... | 638 |
### Human: Problem: Compare the values of the following fractions by filling in the blank with <, >, or =.
(4 / 10) _ (1 / 2)
Solution: To compare the fractions, we need to find a common denominator. The least common multiple (LCM) of 10 and 2 is 10. We can convert the second fraction to have the same denominator:\n\... | 710 |
### Human: Problem: Compare the values of the following fractions by filling in the blank with <, >, or =.
(4 / 10) _ (1 / 2)
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators, which is 10. Then, we can convert both fractions to have the same denominator:\n\n(4 / ... | 714 |
### Human: Problem: Fill in the blank with <, >, or = to correctly compare the two fractions:
(1 / 9) _ (7 / 9)
Solution: To compare the fractions, I will compare the numerators. Since the denominators are the same, the fraction with the larger numerator is the larger fraction.\n\n(1 / 9) has a numerator of 1\n(7 / 9)... | 896 |
### Human: Problem: Compare the values of the following fractions by deciding which symbol (<, >, or =) to fill in the blank with:
(5 / 2) _ (1 / 10)
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators. The denominators are 2 and 10, so the LCM is 10. Then, we can co... | 945 |
### Human: Problem: Compare the following two fractions by filling the blank with <, >, or =.
(6 / 4) _ (2 / 2)
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators. The LCM of 4 and 2 is 4, since 2 is a factor of 4. Then, we can convert the second fraction to have the... | 1,123 |
### Human: Problem: Compare the following two fractions by filling the blank with <, >, or =.
(6 / 4) _ (2 / 2)
Solution: To compare the fractions, we can simplify them first:\n\n(6 / 4) = (3 / 2)\n(2 / 2) = 1\n\nNow, we can compare the fractions. Since 1 is less than 3/2, we can fill in the blank:\n\n1 < (3 / 2)\n\nSo... | 1,130 |
### Human: Problem: Compare the following fractions by filling in the blank with <, >, or =.
(5 / 5) _ (9 / 10)
Solution: To compare the fractions, we need to convert them to have the same denominator. The least common multiple of 5 and 10 is 10.
(5 / 5) = (10 / 5) = (10 / 10) because 10 divided by 5 is 2 so 5 divid... | 1,163 |
### Human: Problem: Compare the following fractions by filling in the blank with <, >, or =.
(5 / 5) _ (9 / 10)
Solution: To compare the fractions, we can directly compare their numerators and denominators:\n\n(5 / 5) is equal to 1, since any number divided by itself is 1.\n(9 / 10) is a fraction where the numerator i... | 1,165 |
### Human: Problem: Compare the following fractions by filling in the blank with <, >, or =.
(5 / 5) _ (9 / 10)
Solution: To compare the fractions, let's convert them to equivalent fractions with the same denominator. The least common multiple of 5 and 10 is 10. So, we can convert the first fraction as follows:
(5 / ... | 1,171 |
### Human: Problem: Compare the following fractions by filling in the blank with <, >, or =.
(5 / 5) _ (9 / 10)
Solution: To compare the fractions, we can convert both fractions to have the same denominator. The least common multiple (LCM) of the denominators 5 and 10 is 10. Then, we can convert both fractions to have... | 1,176 |
### Human: Problem: Compare the following fractions by filling in the blank with <, >, or =.
(5 / 5) _ (9 / 10)
Solution: To compare the fractions, we need to find a common denominator. The least common multiple (LCM) of 5 and 10 is 10. Then, we can convert the first fraction to have the same denominator:\n\n(5 / 5) =... | 1,178 |
### Human: Problem: Compare the following fractions by filling in the blank with <, >, or =.
(5 / 5) _ (9 / 10)
Solution: To compare the fractions, we need to find their equivalent fractions with a common denominator. In this case, both fractions already have a denominator of 5, so we can compare them directly:\n\n(5 ... | 1,189 |
### Human: Problem: Compare the following fractions by filling in the blank with <, >, or =.
(5 / 5) _ (9 / 10)
Solution: To compare the fractions, we need to find a common denominator. The denominators are 5 and 10, so the least common multiple is 10. We can convert the first fraction to have the denominator 10:\n\n(... | 1,190 |
### Human: Problem: Fill in the blank
(1 / 5) _ (1 / 1)
with <, >, or = to compare the two fractions.
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators. However, since one denominator is 1, the LCM of the denominators is 1. But to compare the fractions, we need to ... | 1,214 |
### Human: Problem: Compare the following fractions and fill in the blank with either <, >, or =:
(5 / 8) _ (3 / 3)
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators. However, one of the denominators is 3, and the other is 8. Their LCM is 24, but it's easier to con... | 1,402 |
### Human: Problem: Compare the following fractions and fill in the blank with either <, >, or =:
(5 / 8) _ (3 / 3)
Solution: To compare the fractions, we first need to simplify them if possible. The fraction (5 / 8) cannot be simplified. However, the fraction (3 / 3) can be simplified to 1, since any number divided b... | 1,417 |
### Human: Problem: Compare the following fractions and fill in the blank with either <, >, or =:
(5 / 8) _ (3 / 3)
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators, which is 8. However, in this case, we can simplify the fraction (3 / 3) to 1 because any number di... | 1,426 |
### Human: Problem: Determine which symbol : <, >, or =, is appropriate to fill the blank in the following comparison:
(5 / 8) _ (6 / 10)
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators. The LCM of 8 and 10 is 40. Then, we can convert both fractions to have the s... | 1,440 |
### Human: Problem: Determine which symbol : <, >, or =, is appropriate to fill the blank in the following comparison:
(5 / 8) _ (6 / 10)
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators. The LCM of 8 and 10 is 40. Then, we can convert both fractions to have the s... | 1,441 |
### Human: Problem: Please compare these two fractions and fill the blank with <, >, or =.
(6 / 8) _ (2 / 9)
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators. However, since we are comparing two fractions with different denominators, we can convert them to equival... | 1,603 |
### Human: Problem: Compare the following fractions by filling in the blank with <, >, or =.
(1 / 1) _ (2 / 10)
Solution: To compare the fractions, we need to find a common denominator. The least common multiple (LCM) of 1 and 10 is 10. Then, we can convert the first fraction to have a denominator of 10:\n\n(1 / 1) = ... | 1,733 |
### Human: Problem: Compare the following fractions by filling in the blank with <, >, or =.
(1 / 1) _ (2 / 10)
Solution: To compare the fractions, we can convert them to equivalent fractions by finding the least common multiple (LCM) of the denominators. However, in this case, we can simply compare the numerators and... | 1,740 |
### Human: Problem: Compare the following fractions by filling in the blank with <, >, or =.
(1 / 1) _ (2 / 10)
Solution: To compare the fractions, we can convert them to have the same denominator. The least common multiple (LCM) of 1 and 10 is 10. So, we can convert the first fraction to have a denominator of 10:\n\n... | 1,758 |
### Human: Problem: Compare the results of the following fractions by filling the blank with <, >, or =.
(8 / 2) _ (10 / 9)
Solution: To compare the fractions, we need to find their decimal equivalents or simplify them if possible. The first fraction can be simplified by dividing both the numerator and the denominato... | 1,762 |
### Human: Problem: Compare the results of the following fractions by filling the blank with <, >, or =.
(8 / 2) _ (10 / 9)
Solution: To compare the fractions, we can first simplify them by dividing the numerator and denominator by their greatest common divisor (GCD).\n\nFor (8 / 2), the GCD is 2, so we can simplify ... | 1,763 |
### Human: Problem: Compare the results of the following fractions by filling the blank with <, >, or =.
(8 / 2) _ (10 / 9)
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators or simplify the fractions. In this case, we can simplify the fractions by dividing the num... | 1,767 |
### Human: Problem: Compare the results of the following fractions by filling the blank with <, >, or =.
(8 / 2) _ (10 / 9)
Solution: To compare the fractions, we can simplify them first. The first fraction can be simplified by dividing the numerator and denominator by their greatest common divisor, which is 2:\n\n(8... | 1,771 |
### Human: Problem: Compare the results of the following fractions by filling the blank with <, >, or =.
(8 / 2) _ (10 / 9)
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators, but since the denominators are 2 and 9, their LCM is 18. However, we first want to simpli... | 1,774 |
### Human: Problem: Compare the results of the following fractions by filling the blank with <, >, or =.
(8 / 2) _ (10 / 9)
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators. However, in this case, we can directly compare the fractions without finding the LCM beca... | 1,776 |
### Human: Problem: Compare the results of the following fractions by filling the blank with <, >, or =.
(8 / 2) _ (10 / 9)
Solution: To compare the fractions, we can convert them to equivalent decimals or find the least common multiple (LCM) of the denominators. However, in this case, we can simplify the fractions f... | 1,793 |
### Human: Problem: Determine the relationship between the fractions by filling in the blank in the following equation with either <, >, or =:
(3 / 2) _ (9 / 8)
Solution: To compare the fractions, we need to find a common denominator. The least common multiple (LCM) of 2 and 8 is 8. Then, we can convert the first fra... | 1,834 |
### Human: Problem: Determine the relationship between the fractions by filling in the blank in the following equation with either <, >, or =:
(3 / 2) _ (9 / 8)
Solution: To compare the fractions, we need to find a common denominator. The least common multiple (LCM) of 2 and 8 is 8. Then, we can convert the first fra... | 1,835 |
### Human: Problem: Determine the relationship between the fractions by filling in the blank in the following equation with either <, >, or =:
(3 / 2) _ (9 / 8)
Solution: First, I need to compare the numerators and denominators of the fractions. To make this comparison easier, I can convert both fractions to have a c... | 1,837 |
### Human: Problem: Fill in the blank with the correct symbol to compare the following fractions:
(8 / 10) _ (1 / 1)
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators, which is 10. Then, we can convert both fractions to have the same denominator:\n\n(8 / 10) = (8 /... | 1,881 |
### Human: Problem: Fill in the blank with the correct symbol to compare the following fractions:
(8 / 10) _ (1 / 1)
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators, which is 10. Then, we can convert both fractions to have the same denominator:
(8 / 10) = (8 / 1... | 1,888 |
### Human: Problem: Compare the following fractions and use <, >, or = to fill the blank:
(10 / 10) _ (4 / 10)
Solution: To compare the fractions, we can convert them to have the same denominator, which is 10:\n\n(10 / 10) = (10 / 10)\n(4 / 10) = (4 / 10)\n\nNow we can compare the numerators:\n\n10 = 4\n\nBoth fractio... | 2,081 |
### Human: Problem: Compare the following fractions and use <, >, or = to fill the blank:
(10 / 10) _ (4 / 10)
Solution: To compare the fractions, I will first convert them to have the same denominator, which is 10:\n\n(10 / 10) = (10 / 10)\n(4 / 10) = (4 / 10)\n\nNow we can compare the numerators:\n\n10 = 4\n\nThey a... | 2,090 |
### Human: Problem: Compare the following fractions and use <, >, or = to fill the blank:
(10 / 10) _ (4 / 10)
Solution: To compare the fractions, we can directly compare the numerators since they have the same denominator:\n\n(10 / 10) and (4 / 10) have the same denominator, 10.\n\nNow we can compare the numerators:\... | 2,094 |
### Human: Problem: Compare the following fractions and use <, >, or = to fill the blank:
(10 / 10) _ (4 / 10)
Solution: To compare the fractions, we can look at the numerators and denominators directly. Both fractions have the same denominator, 10.\n\n(10 / 10) = 1\n(4 / 10) = 0.4\n\nSince 1 is greater than 0.4, we c... | 2,103 |
### Human: Problem: Compare the following fractions and use <, >, or = to fill the blank:
(10 / 10) _ (4 / 10)
Solution: To compare the fractions, we can look at the numerators and the denominators. The fractions have the same denominator, 10. Now, we can compare the numerators:\n\n10 = 4\n\nSince the numerators are e... | 2,105 |
### Human: Problem: Compare the following fractions and use <, >, or = to fill the blank:
(10 / 10) _ (4 / 10)
Solution: To compare the fractions, we can look at the numerators and denominators.\n\n(10 / 10) and (4 / 10) have the same denominator, 10.\n\nNow we can compare the numerators:\n\n10 = 4\n\nSince the numera... | 2,106 |
### Human: Problem: Compare the following fractions, and complete the statement:
(10 / 8) _ (3 / 1)
Fill the blank space with <, >, or =.
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators. The LCM of 8 and 1 is 8. Then, we can convert both fractions to have the ... | 2,209 |
### Human: Problem: Compare the following two fractions by filling in the blank with <, >, or =.
(4 / 10) _ (2 / 2)
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators, which is 10 for the first fraction and 2 for the second fraction. However, since 10 is a multiple ... | 2,278 |
### Human: Problem: Evaluate the following expression by comparing the two fractions using <, >, or =:
(4 / 3) _ (1 / 8)
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators. The LCM of 3 and 8 is 24. Then, we can convert both fractions to have the same denominator:\n... | 2,370 |
### Human: Problem: Compare the following fractions by filling in the blank with one of the following symbols: <, >, or =.
(2 / 6) _ (8 / 7)
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators. However, in this case, we don't need to find the LCM of the denominators ... | 2,416 |
### Human: Problem: Fill in the blank in the following question with <, >, or = to correctly indicate which fraction is greater in value:
(6 / 8) _ (5 / 1)
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators. However, 5 and 1 have a common multiple of 5 in this contex... | 2,483 |
### Human: Problem: Fill in the blank in the following question with <, >, or = to correctly indicate which fraction is greater in value:
(6 / 8) _ (5 / 1)
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators, which is 8. Then, we can convert both fractions to have the... | 2,503 |
### Human: Problem: Compare the values of the following expressions by filling in the blank with <, >, or =.
(6 / 3) _ (8 / 2)
Solution: To compare the fractions, we need to evaluate both expressions. Since they are simple fractions, we can calculate their values directly:\n\n(6 / 3) = 2\n(8 / 2) = 4\n\nNow we can com... | 2,564 |
### Human: Problem: Compare the values of the following expressions by filling in the blank with <, >, or =.
(6 / 3) _ (8 / 2)
Solution: To compare the fractions, we need to simplify them first:\n\n(6 / 3) = 2\n(8 / 2) = 4\n\nNow we can compare the numbers:\n\n2 > 4\n\nSo, the correct answer is:\n\n### Answer: >### As... | 2,570 |
### Human: Problem: Compare the values of the following expressions by filling in the blank with <, >, or =.
(6 / 3) _ (8 / 2)
Solution: To compare the fractions, we can simplify them by dividing the numerator by the denominator:\n\n(6 / 3) = 2\n(8 / 2) = 4\n\nNow we can compare the values:\n\n2 > 4\n\nSo, the correct... | 2,579 |
### Human: Problem: Compare the values of the following expressions by filling in the blank with <, >, or =.
(6 / 3) _ (8 / 2)
Solution: To compare the fractions, we can simplify them first:\n\n(6 / 3) = 2\n(8 / 2) = 4\n\nNow, we can compare the values:\n\n2 > 4\n\nSo, the correct answer is:\n\n### Answer: >### Assist... | 2,584 |
### Human: Problem: Compare the values of the following expressions by filling in the blank with <, >, or =.
(6 / 3) _ (8 / 2)
Solution: To compare the fractions, we can simplify the expressions first:\n\n(6 / 3) = 2\n(8 / 2) = 4\n\nNow we can compare the values:\n\n2 > 4 is incorrect, because 2 is less than 4.\n2 < 4... | 2,593 |
### Human: Problem: Fill in the blank with <, >, or = to compare the fractions 6 / 7 and 3 / 1 properly.
Solution: To compare the fractions, we need to find the least common multiple (LCM) of the denominators. However, since one fraction has a denominator of 1, we can simply multiply the other fraction by the reciproca... | 2,675 |
### Human: Problem: What is the result of subtracting 48/20 from 49/8? Answer as a simplified fraction.
Solution: To subtract the fractions, we need to find a common denominator. The least common multiple (LCM) of 20 and 8 is 40. We can convert both fractions to have the same denominator:
(48 / 20) = (384 / 40)
(49 / ... | 2,765 |
### Human: Problem: What is the result of subtracting 48/20 from 49/8? Answer as a simplified fraction.
Solution: To subtract the fractions, we need to find a common denominator. The least common multiple (LCM) of the denominators 20 and 8 is 40.
Now, let's convert the fractions to have the same denominator:
(48/20)... | 2,767 |
### Human: Problem: What is the result of subtracting 48/20 from 49/8? Answer as a simplified fraction.
Solution: To subtract the fractions, we need a common denominator. The least common multiple (LCM) of 20 and 8 is 40.
We will convert both fractions to have a denominator of 40:\n\n(48/20) = (192/40)\n(49/8) = (245... | 2,768 |
### Human: Problem: What is the result of subtracting 48/20 from 49/8? Answer as a simplified fraction.
Solution: To subtract the fractions, we need to find a common denominator. The least common multiple (LCM) of 20 and 8 is 40. So, we can convert both fractions to have the same denominator:
(48 / 20) = (192 / 40)
(4... | 2,770 |
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