Compare 15/56 and 35/49
15/56 is smaller than 35/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 49 is 392
Next, find the equivalent fraction of both fractional numbers with denominator 392 - For the 1st fraction, since 56 × 7 = 392,
15/56 = 15 × 7/56 × 7 = 105/392 - Likewise, for the 2nd fraction, since 49 × 8 = 392,
35/49 = 35 × 8/49 × 8 = 280/392 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/392 < 280/392 or 15/56 < 35/49
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