Compare 35/49 and 14/16
35/49 is smaller than 14/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 16 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 49 × 16 = 784,
35/49 = 35 × 16/49 × 16 = 560/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
14/16 = 14 × 49/16 × 49 = 686/784 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 560/784 < 686/784 or 35/49 < 14/16
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