Compare 2/15 and 49/64
2/15 is smaller than 49/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 64 is 960
Next, find the equivalent fraction of both fractional numbers with denominator 960 - For the 1st fraction, since 15 × 64 = 960,
2/15 = 2 × 64/15 × 64 = 128/960 - Likewise, for the 2nd fraction, since 64 × 15 = 960,
49/64 = 49 × 15/64 × 15 = 735/960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 128/960 < 735/960 or 2/15 < 49/64
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