Compare 24/72 and 10/14
24/72 is smaller than 10/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 14 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 72 × 7 = 504,
24/72 = 24 × 7/72 × 7 = 168/504 - Likewise, for the 2nd fraction, since 14 × 36 = 504,
10/14 = 10 × 36/14 × 36 = 360/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/504 < 360/504 or 24/72 < 10/14
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