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