Compare 42/64 and 28/21
1st number: 42/64, 2nd number: 1 7/21
42/64 is smaller than 28/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 21 is 1344
Next, find the equivalent fraction of both fractional numbers with denominator 1344 - For the 1st fraction, since 64 × 21 = 1344,
42/64 = 42 × 21/64 × 21 = 882/1344 - Likewise, for the 2nd fraction, since 21 × 64 = 1344,
28/21 = 28 × 64/21 × 64 = 1792/1344 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 882/1344 < 1792/1344 or 42/64 < 28/21
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