Compare 6/42 and 60/64
6/42 is smaller than 60/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 64 is 1344
Next, find the equivalent fraction of both fractional numbers with denominator 1344 - For the 1st fraction, since 42 × 32 = 1344,
6/42 = 6 × 32/42 × 32 = 192/1344 - Likewise, for the 2nd fraction, since 64 × 21 = 1344,
60/64 = 60 × 21/64 × 21 = 1260/1344 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 192/1344 < 1260/1344 or 6/42 < 60/64
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