Compare 2/7 and 30/96
2/7 is smaller than 30/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 96 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 7 × 96 = 672,
2/7 = 2 × 96/7 × 96 = 192/672 - 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
- 192/672 < 210/672 or 2/7 < 30/96
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