Compare 6/49 and 56/63
6/49 is smaller than 56/63
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,
6/49 = 6 × 9/49 × 9 = 54/441 - Likewise, for the 2nd fraction, since 63 × 7 = 441,
56/63 = 56 × 7/63 × 7 = 392/441 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 54/441 < 392/441 or 6/49 < 56/63
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