Compare 6/64 and 15/42
6/64 is smaller than 15/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 42 is 1344
Next, find the equivalent fraction of both fractional numbers with denominator 1344 - For the 1st fraction, since 64 × 21 = 1344,
6/64 = 6 × 21/64 × 21 = 126/1344 - Likewise, for the 2nd fraction, since 42 × 32 = 1344,
15/42 = 15 × 32/42 × 32 = 480/1344 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/1344 < 480/1344 or 6/64 < 15/42
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