Compare 4/49 and 4/16
4/49 is smaller than 4/16
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,
4/49 = 4 × 16/49 × 16 = 64/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
4/16 = 4 × 49/16 × 49 = 196/784 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 64/784 < 196/784 or 4/49 < 4/16
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