Compare 42/96 and 70/21
1st number: 42/96, 2nd number: 3 7/21
42/96 is smaller than 70/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 21 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 96 × 7 = 672,
42/96 = 42 × 7/96 × 7 = 294/672 - Likewise, for the 2nd fraction, since 21 × 32 = 672,
70/21 = 70 × 32/21 × 32 = 2240/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/672 < 2240/672 or 42/96 < 70/21
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