Compare 72/96 and 40/90
72/96 is greater than 40/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 90 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 96 × 15 = 1440,
72/96 = 72 × 15/96 × 15 = 1080/1440 - Likewise, for the 2nd fraction, since 90 × 16 = 1440,
40/90 = 40 × 16/90 × 16 = 640/1440 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1080/1440 > 640/1440 or 72/96 > 40/90
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