Compare 21/49 and 42/60
21/49 is smaller than 42/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 60 is 2940
Next, find the equivalent fraction of both fractional numbers with denominator 2940 - For the 1st fraction, since 49 × 60 = 2940,
21/49 = 21 × 60/49 × 60 = 1260/2940 - Likewise, for the 2nd fraction, since 60 × 49 = 2940,
42/60 = 42 × 49/60 × 49 = 2058/2940 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1260/2940 < 2058/2940 or 21/49 < 42/60
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