Compare 56/60 and 36/42
56/60 is greater than 36/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 42 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 42 × 10 = 420,
36/42 = 36 × 10/42 × 10 = 360/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 392/420 > 360/420 or 56/60 > 36/42
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