Compare 21/30 and 81/56
1st number: 21/30, 2nd number: 1 25/56
21/30 is smaller than 81/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 56 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 30 × 28 = 840,
21/30 = 21 × 28/30 × 28 = 588/840 - Likewise, for the 2nd fraction, since 56 × 15 = 840,
81/56 = 81 × 15/56 × 15 = 1215/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 588/840 < 1215/840 or 21/30 < 81/56
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