Compare 75/42 and 30/96
1st number: 1 33/42, 2nd number: 30/96
75/42 is greater than 30/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 96 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 42 × 16 = 672,
75/42 = 75 × 16/42 × 16 = 1200/672 - Likewise, for the 2nd fraction, since 96 × 7 = 672,
30/96 = 30 × 7/96 × 7 = 210/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1200/672 > 210/672 or 75/42 > 30/96
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