Compare 1/64 and 49/56
1/64 is smaller than 49/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 56 is 448
Next, find the equivalent fraction of both fractional numbers with denominator 448 - For the 1st fraction, since 64 × 7 = 448,
1/64 = 1 × 7/64 × 7 = 7/448 - Likewise, for the 2nd fraction, since 56 × 8 = 448,
49/56 = 49 × 8/56 × 8 = 392/448 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 7/448 < 392/448 or 1/64 < 49/56
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