Compare 27/49 and 84/56
1st number: 27/49, 2nd number: 1 28/56
27/49 is smaller than 84/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 56 is 392
Next, find the equivalent fraction of both fractional numbers with denominator 392 - For the 1st fraction, since 49 × 8 = 392,
27/49 = 27 × 8/49 × 8 = 216/392 - Likewise, for the 2nd fraction, since 56 × 7 = 392,
84/56 = 84 × 7/56 × 7 = 588/392 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 216/392 < 588/392 or 27/49 < 84/56
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