Compare 10/64 and 15/84
10/64 is smaller than 15/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 84 is 1344
Next, find the equivalent fraction of both fractional numbers with denominator 1344 - For the 1st fraction, since 64 × 21 = 1344,
10/64 = 10 × 21/64 × 21 = 210/1344 - Likewise, for the 2nd fraction, since 84 × 16 = 1344,
15/84 = 15 × 16/84 × 16 = 240/1344 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/1344 < 240/1344 or 10/64 < 15/84
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