Compare 30/96 and 24/42
30/96 is smaller than 24/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 42 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 96 × 7 = 672,
30/96 = 30 × 7/96 × 7 = 210/672 - Likewise, for the 2nd fraction, since 42 × 16 = 672,
24/42 = 24 × 16/42 × 16 = 384/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/672 < 384/672 or 30/96 < 24/42
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