Compare 27/64 and 27/60
27/64 is smaller than 27/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 60 is 960
Next, find the equivalent fraction of both fractional numbers with denominator 960 - For the 1st fraction, since 64 × 15 = 960,
27/64 = 27 × 15/64 × 15 = 405/960 - Likewise, for the 2nd fraction, since 60 × 16 = 960,
27/60 = 27 × 16/60 × 16 = 432/960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 405/960 < 432/960 or 27/64 < 27/60
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