Compare 5/42 and 21/64
5/42 is smaller than 21/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 64 is 1344
Next, find the equivalent fraction of both fractional numbers with denominator 1344 - For the 1st fraction, since 42 × 32 = 1344,
5/42 = 5 × 32/42 × 32 = 160/1344 - Likewise, for the 2nd fraction, since 64 × 21 = 1344,
21/64 = 21 × 21/64 × 21 = 441/1344 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/1344 < 441/1344 or 5/42 < 21/64
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