Compare 56/60 and 81/84
56/60 is smaller than 81/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 60 × 7 = 420,
56/60 = 56 × 7/60 × 7 = 392/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
81/84 = 81 × 5/84 × 5 = 405/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 392/420 < 405/420 or 56/60 < 81/84
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