Compare 18/42 and 20/64
18/42 is greater than 20/64
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,
18/42 = 18 × 32/42 × 32 = 576/1344 - Likewise, for the 2nd fraction, since 64 × 21 = 1344,
20/64 = 20 × 21/64 × 21 = 420/1344 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 576/1344 > 420/1344 or 18/42 > 20/64
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