Compare 42/72 and 90/96
42/72 is smaller than 90/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 96 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 72 × 4 = 288,
42/72 = 42 × 4/72 × 4 = 168/288 - Likewise, for the 2nd fraction, since 96 × 3 = 288,
90/96 = 90 × 3/96 × 3 = 270/288 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/288 < 270/288 or 42/72 < 90/96
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