Compare 3/14 and 49/96
3/14 is smaller than 49/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 96 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 14 × 48 = 672,
3/14 = 3 × 48/14 × 48 = 144/672 - Likewise, for the 2nd fraction, since 96 × 7 = 672,
49/96 = 49 × 7/96 × 7 = 343/672 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 144/672 < 343/672 or 3/14 < 49/96
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