Compare 1/15 and 9/64
1/15 is smaller than 9/64
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,
1/15 = 1 × 64/15 × 64 = 64/960 - Likewise, for the 2nd fraction, since 64 × 15 = 960,
9/64 = 9 × 15/64 × 15 = 135/960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 64/960 < 135/960 or 1/15 < 9/64
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