Compare 6/24 and 56/60
6/24 is smaller than 56/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 60 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 24 × 5 = 120,
6/24 = 6 × 5/24 × 5 = 30/120 - Likewise, for the 2nd fraction, since 60 × 2 = 120,
56/60 = 56 × 2/60 × 2 = 112/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/120 < 112/120 or 6/24 < 56/60
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