Compare 1/49 and 21/16
1st number: 1/49, 2nd number: 1 5/16
1/49 is smaller than 21/16
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,
1/49 = 1 × 16/49 × 16 = 16/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
21/16 = 21 × 49/16 × 49 = 1029/784 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 16/784 < 1029/784 or 1/49 < 21/16
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