diff --git a/src/humanize/number.py b/src/humanize/number.py
index 2fb22c6..c072f1a 100644
--- a/src/humanize/number.py
+++ b/src/humanize/number.py
@@ -308,7 +308,7 @@ def apnumber(value: NumberOrString) -> str:
     return _(_APNUMBER_WORDS[value])
 
 
-def fractional(value: NumberOrString) -> str:
+def fractional(value: NumberOrString, *, max_denominator: int = 1000) -> str:
     """Convert to fractional number.
 
     There will be some cases where one might not want to show ugly decimal places for
@@ -343,12 +343,20 @@ def fractional(value: NumberOrString) -> str:
 
     Args:
         value (int, float, str): Integer to convert.
+        max_denominator (int): Largest denominator allowed in the approximation.
 
     Returns:
         str: Fractional number as a string.
     """
     import math
 
+    if (
+        isinstance(max_denominator, bool)
+        or not isinstance(max_denominator, int)
+        or max_denominator <= 0
+    ):
+        raise ValueError("max_denominator must be a positive integer")
+
     try:
         number = float(value)
         if not math.isfinite(number):
@@ -358,7 +366,7 @@ def fractional(value: NumberOrString) -> str:
     from fractions import Fraction
 
     whole_number = int(number)
-    frac = Fraction(number - whole_number).limit_denominator(1000)
+    frac = Fraction(number - whole_number).limit_denominator(max_denominator)
     numerator = frac.numerator
     denominator = frac.denominator
     if whole_number and not numerator and denominator == 1: