Compare 21/60 and 60/64
21/60 is smaller than 60/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 64 is 960
Next, find the equivalent fraction of both fractional numbers with denominator 960 - For the 1st fraction, since 60 × 16 = 960,
21/60 = 21 × 16/60 × 16 = 336/960 - Likewise, for the 2nd fraction, since 64 × 15 = 960,
60/64 = 60 × 15/64 × 15 = 900/960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 336/960 < 900/960 or 21/60 < 60/64
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