Compare 21/81 and 56/60
21/81 is smaller than 56/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 60 is 1620
Next, find the equivalent fraction of both fractional numbers with denominator 1620 - For the 1st fraction, since 81 × 20 = 1620,
21/81 = 21 × 20/81 × 20 = 420/1620 - Likewise, for the 2nd fraction, since 60 × 27 = 1620,
56/60 = 56 × 27/60 × 27 = 1512/1620 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 420/1620 < 1512/1620 or 21/81 < 56/60
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