Compare 75/72 and 96/21
1st number: 1 3/72, 2nd number: 4 12/21
75/72 is smaller than 96/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 21 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 72 × 7 = 504,
75/72 = 75 × 7/72 × 7 = 525/504 - Likewise, for the 2nd fraction, since 21 × 24 = 504,
96/21 = 96 × 24/21 × 24 = 2304/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 525/504 < 2304/504 or 75/72 < 96/21
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