Compare 30/64 and 49/60
30/64 is smaller than 49/60
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,
30/64 = 30 × 15/64 × 15 = 450/960 - Likewise, for the 2nd fraction, since 60 × 16 = 960,
49/60 = 49 × 16/60 × 16 = 784/960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 450/960 < 784/960 or 30/64 < 49/60
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