Compare 21/49 and 42/63
21/49 is smaller than 42/63
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 63 is 441
Next, find the equivalent fraction of both fractional numbers with denominator 441 - For the 1st fraction, since 49 × 9 = 441,
21/49 = 21 × 9/49 × 9 = 189/441 - Likewise, for the 2nd fraction, since 63 × 7 = 441,
42/63 = 42 × 7/63 × 7 = 294/441 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/441 < 294/441 or 21/49 < 42/63
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