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7.NS.A.3-fraction | In the same soap factory, consider a new scenario where instead of reducing production by 19/24 of a tonne due to a power cut, they only reduce production by 8/24 of a tonne. Following the same adjustment of increasing production by an extra 4/20 of a tonne earlier in the day, how many tonnes of soap does the factory p... |
7.NS.A.3-fraction | You have a paint mixing machine that creates specific shades of color.
The machine starts by mixing 24/8 gallons of red paint. It then pours away 12/8 gallons of the mix. Let 'd' represent the amount of red paint left in the machine.
Finally, the machine adds another 1/28 gallon of blue pigment to lighten the color, ... |
7.NS.A.3-fraction | Suppose, while creating the paint mixture you started with the revised amount of 24/8 gallons of red paint. However, this time instead of adding 1/28 gallon blue pigment, you added 1/21 gallon of blue pigment to adjust the color.
Subtract this newer amount of blue pigment from 'd' to find 'x' in gallons, which is the... |
7.NS.A.3-fraction | A banana bread recipe requires you to multiply the fractions (27 / 14) and (17 / 13) together to determine how many ounces of mashed bananas you'll need. Compute the product of these fractions and write your answer as a simplified fraction to find out how many ounces are required. |
7.NS.A.3-fraction | After finding out how many ounces of mashed bananas you'll need for the banana bread, you realize that you need to scale up the recipe by the factor represented by the fraction (8 / 4). Compute the product of the original fraction and the scaling factor (8 / 4) to determine the new amount of mashed bananas that will be... |
7.NS.A.3-fraction | After reevaluating the recipe, you discover that the amount of mashed bananas required is actually determined by multiplying the fractions (27 / 14) and (17 / 15), not (27 / 14) and (17 / 13) as you initially thought. Recompute the product of these fractions to find out the correct amount of mashed bananas needed for t... |
7.NS.A.3-fraction | Sonia uses 21/12 oz of toothpaste to brush her teeth every day. Her brother Anthony uses less toothpaste, just 6/27 oz daily. Add both quantities of toothpaste to get the total daily amount used by Sonia and Anthony.
Now, suppose their mom includes an amount of toothpaste for herself to the total - she uses 3/18 oz of... |
7.NS.A.3-fraction | Sonia uses 21/12 oz of toothpaste to brush her teeth every day, and her brother Anthony uses 6/27 oz daily. Their mom includes her daily usage of 3/18 oz of toothpaste to the total.
Now, their visiting grandma also starts using toothpaste daily. She uses a different toothpaste amount, specifically, she uses 24/28 oz ... |
7.NS.A.3-fraction | In our ongoing toothpaste saga, consider the situation where Sonia is still using 21/12 oz of toothpaste to brush her teeth daily but Anthony decides to use more toothpaste and now uses 26/27 oz daily instead. Their mom's daily toothpaste usage remains at 3/18 oz.
Calculate the new total daily toothpaste usage for So... |
7.NS.A.3-fraction | Let's suppose for a special recipe sandwich, you need to divide a wheel of cheese into 14 equal parts and a pickle jar into 18 equal parts.
To make one special sandwich, you need 21 parts of the wheel of cheese and 7 parts from the pickle jar.
You've just made these sandwiches and you are down to ((7 / 18) + (21 / 1... |
7.NS.A.3-fraction | In the same scenario, let's say you found a jar of pickles in the back of your fridge, so now you have 19 parts of the pickle jar instead of the 7 you thought you had.
So, for the initial special recipe sandwiches, you now have ((19 / 18) + (21 / 14)) of your original ingredients.
Just like before, later, you decided... |
7.NS.A.3-fraction | A window washer needs to clean two windows in a large building. The first window is 15/6 meters tall while the other one is 7/16 meters tall. How tall are the windows in total? |
7.NS.A.3-fraction | The window washer noticed that he made an error in measuring the first window. It is actually 15/5 meters tall, not 15/6 meters tall as he initially recorded. How tall are the windows in total now? |
7.NS.A.3-fraction | Jan is mixing some fruit juices for a party. She mixes 16/6 liters of apple juice with 20/12 liters of orange juice. To add some tartness, she also adds 2/3 liters of cranberry juice. How many liters of juice does she have in total? |
7.NS.A.3-fraction | In a puzzle game, each level gives you 4/3 points. If you have played 13/10 of these levels, how many points have you earned? Standardize your response as a simplified fraction.
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7.NS.A.3-fraction | In the same puzzle game, let's say now each level gives you the same amount of points, 4/3, but you've only played the game completely (13/13 of the levels). How many points have you earned now? Write your response as a simplified fraction. |
7.NS.A.3-fraction | An astronaut on a mission has a routine where he spends 18/8 hours a day cycling on the spaceship's exercise bike and 26/2 hours a day conducting scientific experiments. The total amount of time spent on these activities in a day makes up what he calls his "work".
One day he decides to add another activity to his rout... |
7.NS.A.3-fraction | The astronaut then decides to reduce the time he spends on scientific experiments from 26/2 hours a day to 11/2 hours a day, but keeps his exercise and data review routines the same. After making these adjustments, how many hours does the astronaut spend on his routine now? |
7.NS.A.3-fraction | Jeremy went to a sandwich shop that slices cheese by weight measured in ounces. He ordered slices of cheese that weighed 30/9 ounces in total. However, upon weighing, he found that there was 17/22 ounces less cheese than he requested. Calculate how much cheese he actually received. Use the equation 'd = n - (17 / 22)' ... |
7.NS.A.3-fraction | Following the previous problem, Jeremy decided to make sandwiches for his friends. Each of his friends wanted a sandwich that had (30 / 18) ounces of the cheese Jeremy received from the shop. Calculate the total amount of cheese in ounces that Jeremy will have to use if he uses 'd' ounces of cheese from what he receive... |
7.NS.A.3-fraction | Based on the previous problem, suppose now that when Jeremy weighed his cheese, he found that there was actually 20/22 ounces less cheese than he requested, instead of 17/22 ounces. With this change, calculate how much cheese he actually received now. Use the equation 'd = n - (20 / 22)' to find the answer. |
7.NS.A.3-fraction | Sophia is a researcher who studies sunglasses. She was examining a batch of sunglasses and trying to calculate the average light blocking efficiency.
In the first test, she found that 13 out of every 4 sunglasses blocked all UV rays completely, while in the second test, 20 out of every 18 sunglasses also blocked all U... |
7.NS.A.3-fraction | After making her final corrections, Sophia wanted to estimate the impact of the sunglasses' UV blocking efficiency. She decided to conduct an experiment, where she subjected 13 out of 6 pairs of sunglasses from the final corrected number to a special UV light test, and then multiplied the results by the rest.
What fr... |
7.NS.A.3-fraction | Sophia revisited her calculations and identified an error. She had originally noted that 13 out of every 4 sunglasses blocked all UV rays. However, upon double-checking, she discovered that actually 13 out of every 28 sunglasses blocked all UV rays. She wants to correct this while keeping the rest of her operations the... |
7.NS.A.3-fraction | Shawn is making sandwiches for a picnic. The recipe for the sandwiches requires different amounts of mayonnaise and sandwich spread.
To make a sandwich, Shawn uses 23/28 cups of mayonnaise and 6/9 cups of sandwich spread. How many cups of these two ingredients does Shawn use in total to make a sandwich?
While prepar... |
7.NS.A.3-fraction | Following the previous scenario, Shawn has now decided to add another ingredient to his sandwiches.
In addition to the mayonnaise, sandwich spread, and cheese spread, Shawn wants to add 4/4 cups of ham to each sandwich. Calculate the total amount of ingredients Shawn now needs to make one sandwich which includes mayon... |
7.NS.A.3-fraction | Following the previous scenario, Shawn has decided to slightly adjust his mayonnaise ratio in his sandwich recipe.
Instead of 23/28 cups of mayonnaise, Shawn now wants to use 25/28 cups of mayonnaise while still using the same amounts of sandwich spread, cheese spread, and ham for each sandwich. Calculate how many cup... |
7.NS.A.3-fraction | Cassandra collected keys for a hobby. At first she had a collection equivalent to 7/6 of a key set. After she lost 1/21 of a key set, how many key sets does she have now? |
7.NS.A.3-fraction | Let's consider a slight variation. Instead, Cassandra started her key-hobby with a collection that equaled 23/6 of a key set. After losing 1/21 of a key set, just as before, how many key sets remains in her collection now? |
7.NS.A.3-fraction | A songwriter is composing a new piece. In the first section, he uses a ratio of 29 notes every 23 measures. In the second section, he uses a ratio of 19 notes every 17 measures.
Calculate the difference between the sum of the ratios of the two sections ((29 / 23) + (19 / 17)) and the ratio of a rest, which is equival... |
7.NS.A.3-fraction | In the same song composition, the songwriter decided to revise the second section. Instead of having a ratio of 19 notes every 17 measures, he decided to keep it consistent with the first section and have a ratio of 19 notes every 23 measures just like in the first section.
Calculate the difference between the sum of ... |
7.NS.A.3-fraction | You're trying to solve a puzzle that requires you to multiply two fractions together. The fractions are 22/25 and 22/8. Calculate the product to get the answer you need to advance in the puzzle. |
7.NS.A.3-fraction | You solved the first part of the puzzle with the result from multiplying the fractions 22/25 and 22/8. Now, you've come across a key with the number 23/13 etched on it. To open the next door, you need to add the result from the step you just completed to the number on the key. What is the sum of these two values? |
7.NS.A.3-fraction | Previously, you multiplied fractions 22/25 and 22/8 in the first part of the puzzle. Suppose instead of the 22/25 that you initially saw, the actual fraction in the text was 13/25. Now, you wonder how this change in information might affect your product. Recalculate the result using the correct fractions, which are now... |
7.NS.A.3-fraction | James is making a decorative pillow and would like to add a matching border. He needs to calculate the length of border material he will need. The pillow is 23/9 feet long. He had an additional 22/25 feet of length due to the fluffing of the pillow. The total length is then multiplied by 16/13 to account for overlap an... |
7.NS.A.3-fraction | James realizes he made a mistake when measuring the length of his pillow. The pillow is actually 12/9 feet long, not 23/9 feet as previously calculated. Using this corrected length, and still considering the added 22/25 feet for fluffing plus the factor of 16/13 for overlap and corners, how much border material will he... |
7.NS.A.3-fraction | A car travels 21/4 miles every hour. One day, the car was needed to travel an extra 16/13 miles, but due to a detour, it only traveled an additional 1/21 miles. How many more miles was the car supposed to travel in total that day, given that it ran continuously at the same speed? Calculate by multiplying the additional... |
7.NS.A.3-fraction | Continuing from the original scenario, instead of an extra 16/13 miles, suppose the car was actually supposed to travel an additional 16/6 miles, but still it only traveled an additional 1/21 miles due to the detour. How many more miles was the car supposed to travel in total that day, given that it ran continuously at... |
7.NS.A.3-fraction | In a book publishing company, the manager has to look after various departments. The editing team takes 20/5 hours to edit a manuscript of a book, while the typesetting team needs 18/17 hours to adjust the layout of a page.
Some break delay happens that results in a collective loss of 6/15 hours.
After these delays... |
7.NS.A.3-fraction | Continuing from the previous scenario at the book publishing company, this time, the layout team has improved their efficiency. Now, they can adjust the layout of a page in 20/16 hours. The editing team is still taking the same amount of time, 18/17 hours.
A break delay happens again, which leads to a loss of 6/15 hou... |
7.NS.A.3-fraction | Jenny plants 13/11 rows of potatoes in her garden. Each row yields approximately 21/3 bushels. If Jenny sells her yield at the farmer's market where each bushel earns her 21/15 dollars, how many dollars will she make in total by selling all her potatoes? |
7.NS.A.3-fraction | A jeweler uses 14/28 of a kilogram of gold to craft a certain type of rings. Additionally, he uses 13/26 of a kilogram of silver to design another type of rings. What is the sum of the amount of gold and silver used by the jeweler in kilograms? |
7.NS.A.3-fraction | The jeweler decided to use a more expensive gold making process for his rings, which requires a slightly larger amount of gold, specifically 21/28 of a kilogram instead of the original 14/28. Taking this into account, now how much total weight of gold and silver is he using to craft his rings? |
7.NS.A.3-fraction | In a beehive, there are sections for honey storage and bee rearing. Each section is classified into many sub-sections. One day, the beekeeper discovered that each honey storage sub-section had (25 / 9) gallons of honey. He also found the same amount of honey in each bee rearing sub-section.
If he combined the honey f... |
7.NS.A.3-fraction | After reflecting on the honey production in the beehive, the beekeeper discovered new data. Instead of each sub-section having (25 / 9) gallons of honey, they each actually had (25 / 4) gallons of honey. This new quantity is represented by 'r'.
When he combines the honey from a honey storage sub-section and a bee rea... |
7.NS.A.3-fraction | In prehistoric times, a herbivorous dinosaur eats 16/8 bunches of leaves per hour during the day. But at night, it only eats 6/17 bunches of leaves every hour because of reduced visibility. Calculate the total bunches of leaves the dinosaur eats in an hour if it is eating day and night. |
7.NS.A.3-fraction | If this dinosaur finds a field where, due to unique plant growth conditions, it can eat an additional 27/13 bunches of leaves per hour, regardless of whether it's day or night, how many bunches of leaves would the dinosaur eat in total in an hour? Include the quantities it was previously eating during the day and night... |
7.NS.A.3-fraction | A bear ate 28/6 pounds of fish one day and 21/18 pounds the next day. On the third day, the bear ate 24/22 pounds of fish. How many total pounds of fish did the bear eat in these three days, written as a fraction? |
7.NS.A.3-fraction | In the previously mentioned problem, suppose on the second day, the bear ate only 5/18 pounds of fish rather than 21/18 pounds. With this change, how many total pounds of fish did the bear eat in those three days? Write your answer as a simplified fraction. |
7.NS.A.3-fraction | Heather was preparing a special three-course dinner for her family.
For the first course, she had a bread recipe that required 11/17 of a cup of sugar. In addition, she baked a custard for dessert that required another 6/2 cups of sugar.
As her family loves sweet dishes, she decided to increase the total quantity o... |
7.NS.A.3-fraction | Suppose while preparing the dinner, Heather discovered that instead of 11/17 cups of sugar, the bread recipe only required 11/25 cups of sugar. With this adjustment, and keeping the increased factor of 29/21 the same, how many cups of sugar did Heather use in total for her special three-course dinner? |
7.NS.A.3-fraction | Ms. Parker, a math teacher, was grading papers and noticed that a student did the calculation ((7 / 8) + (21 / 18)), but she didn't write down the final answer. What is the result of this calculation as a simplified fraction? |
7.NS.A.3-fraction | In the previous exercise, the student was initially solving the problem ((7 / 8) + (21 / 18)). However, upon double-checking their work, they realised that the second part of their calculation had been wrong, it wasn't (21 / 18), but instead (25 / 18). What would be the answer to ((7 / 8) + (25 / 18)) as a simplified f... |
7.NS.A.3-fraction | King Arthur is planning a grand feast at his castle. He estimates that each guest will consume 15/7 gallons of water and 15/24 gallons of wine.
On the other hand, the royal baker needs 26/20 gallons of milk for each of the cakes he's baking.
Calculate the total amount of liquid (v) that will be consumed if the baker... |
7.NS.A.3-fraction | In preparation for a subsequent feast at King Arthur's castle, the royal baker has tweaked his recipes and now needs 19/20 gallons of milk for each cake he's baking, as opposed to the previous requirement of 26/20 gallons.
Calculate the new total amount of liquid (v) that will be consumed if the baker's revised requir... |
7.NS.A.3-fraction | Teddy is a bear who loves to play with numbers. One day, Teddy was playing with his favorite number, which just so happened to be 30/17. While playing, he saw another number, 18/15, and decided to add it to his favorite number. With this new number in mind, he then saw another, 24/13, and decided to multiply it by his ... |
7.NS.A.3-fraction | In the previous calculation, Teddy the bear started with the number 30/17. But what if Teddy had started with the number 20/17 instead? Then he added 18/15 to this number, and multiplied the result by 24/13. What is Teddy's final number now? |
7.NS.A.3-fraction | Johnny is building a scooter from scratch. He needs to drill holes into the scooter deck to attach the wheels. The size of each hole should be approximately (20/6) cm in diameter. Unfortunately, his drill bit only has a diameter of (11/21) cm. If he uses his current drill bit, he needs to drill a hole, move it over and... |
7.NS.A.3-fraction | After drilling the holes in the scooter deck with his current drill, Johnny then needs to carve a groove around each hole using a different tool. The additional carving adds an extra size of (27/22) cm to the diameter of each hole. How big would the final diameter be for each hole, keeping the fraction (20/6) * (11 / 2... |
7.NS.A.3-fraction | Aaron has a small model car collection. His favorite car model takes exactly 17/10 hours to assemble. He started assembling a new car model and realized that it was simpler, taking only 12/23 hours to complete.
How much less time, in hours, will the second model take than the first one? Write your answer as a simplif... |
7.NS.A.3-fraction | Aaron realized he had made a mistake in his timekeeping. Assembling his favorite car model actually took 18/10 hours, not 17/10 hours as he initially thought.
How much less time, in hours, will it now take to assemble the second model as compared to the new time for the first model? Write your answer as a simplified ... |
7.NS.A.3-fraction | Carlos is very handy, and he decided to start a business making and selling chairs. He usually makes each chair using 20/15 units of wood. For a special order, he decided to design a larger, sturdier chair that uses (24/5) times (7/6) units more wood than usual.
In total, how many units of wood would Carlos need to m... |
7.NS.A.3-fraction | Carlos realized he could be using a more efficient design for his chairs. Instead of using 20/15 units of wood as he was previously, he can now use only 20/8 units for the basic chair design. The larger design with the special feature still requires (24/5) times (7/6) units more wood than the basic chair.
With this mo... |
7.NS.A.3-fraction | Officer Davis was monitoring traffic for speeders. He was measuring the speed of cars passing by him using a radar gun. The gun showed one car was going 13/4 miles per minute. Suddenly, the car slows down and reduces his speed by 14/15 miles per minute. Officer Davis noted down the new speed of the car. Suddenly, the c... |
7.NS.A.3-fraction | The car that Officer Davis was monitoring suddenly picked up a passenger who urged the driver to speed up a bit. The car's speed increased again by an additional 14/29 miles per minute. What was the final speed of the car now, according to Officer Davis's radar gun? |
7.NS.A.3-fraction | After reviewing his radar readings, Officer Davis realized he made an error in his measurements. Instead of the car increasing its speed by 30/15 miles per minute after it slowed down, it had actually only increased its speed by 19/15 miles per minute. What would the corrected final speed of the car be, according to Of... |
7.NS.A.3-fraction | Jake is trying to figure out how many grapes he can get from a certain vineyard.
- The vineyard can usually produce 19/2 baskets of grapes every season. However, due to weather conditions, only 19/29 of the usual amount were produced this season. How many baskets of grapes were produced this season?
- But Jake isn't... |
7.NS.A.3-fraction | Now, consider a business opportunity Jake got. An old friend asked him if Jake could supply 23/21 of the amount of grapes he uses for the juice to their upcoming local market. How many baskets of grapes would Jake need for this request? |
7.NS.A.3-fraction | Suppose that next season the vineyard performs better and can produce 19/13 times its normal yield, which is 19/2 baskets of grapes in a season.
- With the improved yield, how many baskets of grapes would the vineyard produce next season?
- Jake still needs to share the total amount of grapes with others and only ge... |
7.NS.A.3-fraction | Joel has a grape farm. One day, he picked 9/2 bushels of red grapes and 10/22 bushels of green grapes from his farm. Calculate the total number of bushels of grapes Joel picked that day. |
7.NS.A.3-fraction | Joel then sold a unique juice blend at a farmer's market. He used a ratio of 25/17 bushels of juice per bushel of grapes. Calculate how many bushels of juice Joel made for the market using the total number of bushels of grapes he picked. |
7.NS.A.3-fraction | Suppose Joel made an error and actually only picked 9/3 bushels of red grapes instead of 9/2 bushels. He still picked 10/22 bushels of green grapes. Calculate the corrected total number of bushels of grapes Joel picked.
|
7.NS.A.3-fraction | A snowman is constructed by stacking two different sized snowballs on top of each other. The larger snowball at the bottom has a diameter of 17/8 feet, and the smaller snowball on top has a diameter of 1/20 feet. What is the total height of the snowman in feet when these two snowballs are stacked on top of each other? |
7.NS.A.3-fraction | After constructing the snowman with two snowballs, we decide to add a unusually tall hat with a height of 14/19 feet to the snowman. What is the total height of the snowman now, with the two snowballs and the hat? |
7.NS.A.3-fraction | In our previous snowman, the larger snowball at the bottom had a diameter of 17/8 feet. Now imagine that the larger snowball had a larger diameter of 17/6 feet instead. The smaller snowball on top still has a diameter of 1/20 feet. What is the total height of the snowman now, with these two adjusted snowballs stacked o... |
7.NS.A.3-fraction | In a sandbox, a child splits up 24/7 parts of the sand in a fair way. Later on, another child takes away 2/16 part of the sand. Calculate the remaining part of sand in the sandbox. |
7.NS.A.3-fraction | Suppose now the child originally splits up 24/16 parts of the sand in the sandbox. Later on, the same amount of 2/16 part of the sand is taken away again. How much sand remains in the sandbox this time? |
7.NS.A.3-fraction | In the jungle, a lion ate 28/26 of a zebra in one day and 23/9 of a wildebeest the next day. How much less of the zebra did the lion eat compared with the wildebeest? Calculate your answer as a simplified fraction. |
7.NS.A.3-fraction | In the jungle, a lion ate 28/26 of a zebra in one day and 23/9 of a wildebeest the next day. The lion realized it was still hungry, so it ate 21/4 as much as the difference between the wildebeest and the zebra the next day. How much did the lion eat the next day? Please express your answer as a simplified fraction. |
7.NS.A.3-fraction | A chocolate factory makes a batch of chocolate by combining 14/4 kilograms of cocoa and 21/11 liters of milk for every kilogram. How many kilograms of chocolate will the factory produce by combining these ingredients? Calculate your answer to the following expression, ((14 / 4) * (21 / 11)). |
7.NS.A.3-fraction | After the chocolate factory combines the ingredients to make the chocolate, they find out that some of it has spoiled. If the spoiled chocolate weighed 12/4 kilograms, calculate the new amount of the chocolate they have left. Use the expression (o - (12 / 4)) to determine this. |
7.NS.A.3-fraction | Let's say the chocolate factory decided to reduce their cocoa to milk ratio in the chocolate in order to experiment with the taste. If they decrease the amount of milk used in each batch of chocolate from 21/11 liters to 6/11 liters while keeping the quantity of cocoa constant at 14/4 kilograms, calculate the amount of... |
7.NS.A.3-fraction | In the tropical rainforest, there are two different species of banana trees. One species produces 12 bananas every 29 days, while another species produces 30 bananas every 10 days. If a day is chosen at random, what is the expected number of bananas that the two species together will have produced on that day? Use the ... |
7.NS.A.3-fraction | Continuing from the previous question, suppose the number of bananas produced collectively by the two species of banana trees is proportional to the square of the expected number of bananas produced per day. What would be the new expected total number of bananas produced per day? Use the formula (u * u) where u is the ... |
7.NS.A.3-fraction | Following the previous question, suppose the species of banana tree that was previously producing 12 bananas every 29 days begins to produce 12 bananas every 13 days instead, while the other species continues to produce 30 bananas every 10 days. If a day is chosen at random, what is the new expected number of bananas t... |
7.NS.A.3-fraction | A giraffe needs to eat a total of 11/11 ton of acacia leaves plus 26/14 ton of grasses a day. Calculate the total ton of food the giraffe needs to eat in a day. |
7.NS.A.3-fraction | In addition to the acacia leaves and grasses, the giraffe also drinks 10/30 ton of water per day. What is the total weight of food and water that the giraffe consumes in a day? |
7.NS.A.3-fraction | In the previous scenario, suppose the giraffe ate 24/14 ton of grasses, instead of 26/14 ton. How much total food does the giraffe eat per day now? |
7.NS.A.3-fraction | A bear spends 18 hours of the day sleeping. Given that each day has 24 hours, this bear spends 18/24th of each day asleep. For 27 days of the month, the bear's activity is tracked. Assume that the bear has a regular sleeping pattern. Calculate the fraction of time the bear has spent sleeping over the 27 days assuming e... |
7.NS.A.3-fraction | After calculating the amount of time the bear spends sleeping over the 27 days, consider that for a ratio of 23 hours every 20 days, the bear is disturbed by hikers and awoken from its slumber, interrupting the sleeping schedule. How much of the time would be spent awake due to this disturbance over the course of the 2... |
7.NS.A.3-fraction | Let's continue with our sleepy bear story. Suppose, instead of sleeping for 18 hours a day, this bear actually spends 29 hours a day in hibernation during the winter. Considering that a day is still 24 hours long, and keeping the same observation period of 27 days in a 13-week month, what proportion of this time does t... |
7.NS.A.3-fraction | In a beautiful forest, the park rangers recorded that 9 out of every 14 trees were pine trees. They also noticed an exceptional occurrence where 19 out of every 2 trees were birches. If you count all the pine trees and birch trees together, what fraction of the trees in the forest are either pine or birch? Use the form... |
7.NS.A.3-fraction | In the same forest, the park rangers conducted another seasonal survey. This time, they found that the number of pine trees made up 9 out of every 14 trees. In an unexpected turn of events, the number of birch trees significantly increased to 30 out of every 2 trees. Given these new numbers, what fraction of the trees ... |
7.NS.A.3-fraction | On planet Zog, aliens use an interesting system to track their energy levels. At the beginning of the day, Zogorian calculates his energy level to be (14 / 2) / (23 / 17) zogs. Later in the day, after harnessing energy from their primary star, his energy level increases by (16 / 24) zogs. Calculate the Zogorian's energ... |
7.NS.A.3-fraction | After the Zogorian's energy level increased, he used a special device that multiplies the current energy level by a factor of (18 / 11) to store the additional energy for later use. Calculate the Zogorian's new energy level in zogs after using the device. |
7.NS.A.3-fraction | Let's continue tracking this Zogorian's energy levels. Suppose instead, after harnessing energy from their primary star, his energy level had increased by (23 / 24) zogs instead of (16 / 24) zogs. Calculate the Zogorian's energy level after this larger increase. |
7.NS.A.3-fraction | Teddy, the bear, loves to play hide and seek with his friends. One day, he decided to play a game where he hides some number of his stuffed animal friends. Teddy hides 18/11 of his friends in the forest and 8/21 of his friends at the beach. First calculate how many more friends Teddy hides in the forest than at the bea... |
7.NS.A.3-fraction | After hiding all his friends, Teddy, the bear, thinks about a new challenge. He decides to tack on an extra task that each of his friends must complete. The task involves going through an obstacle course, and only 18/28 of his friends decide to take on the new challenge. Teddy decides that the new challenge will requir... |
7.NS.A.3-fraction | As Teddy's game continues, he changes the number of friends he initially hides. This time, he hides 21/11 of his friends in the forest instead of 18/11, while still hiding 8/21 of his friends at the beach. Now first calculate how many more friends Teddy hides in the forest than at the beach, using this new number. Let'... |
7.NS.A.3-fraction | A robot is performing a maintenance task. It starts with 25/10 units of energy. However, it quickly uses 27/23 units of energy to complete a series of complex computations. Calculate how much energy it has left. |
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