Compare 3/60 and 6/64
3/60 is smaller than 6/64
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,
3/60 = 3 × 16/60 × 16 = 48/960 - Likewise, for the 2nd fraction, since 64 × 15 = 960,
6/64 = 6 × 15/64 × 15 = 90/960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 48/960 < 90/960 or 3/60 < 6/64
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