Compare 42/9 and 75/96
1st number: 4 6/9, 2nd number: 75/96
42/9 is greater than 75/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 96 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 9 × 32 = 288,
42/9 = 42 × 32/9 × 32 = 1344/288 - Likewise, for the 2nd fraction, since 96 × 3 = 288,
75/96 = 75 × 3/96 × 3 = 225/288 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1344/288 > 225/288 or 42/9 > 75/96
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