Compare 98/96 and 42/75
1st number: 1 2/96, 2nd number: 42/75
98/96 is greater than 42/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 75 is 2400
Next, find the equivalent fraction of both fractional numbers with denominator 2400 - For the 1st fraction, since 96 × 25 = 2400,
98/96 = 98 × 25/96 × 25 = 2450/2400 - Likewise, for the 2nd fraction, since 75 × 32 = 2400,
42/75 = 42 × 32/75 × 32 = 1344/2400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2450/2400 > 1344/2400 or 98/96 > 42/75
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