Compare 10/15 and 42/64
10/15 is greater than 42/64
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,
10/15 = 10 × 64/15 × 64 = 640/960 - Likewise, for the 2nd fraction, since 64 × 15 = 960,
42/64 = 42 × 15/64 × 15 = 630/960 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 640/960 > 630/960 or 10/15 > 42/64
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