Compare 42/75 and 56/60
42/75 is smaller than 56/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 60 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 75 × 4 = 300,
42/75 = 42 × 4/75 × 4 = 168/300 - Likewise, for the 2nd fraction, since 60 × 5 = 300,
56/60 = 56 × 5/60 × 5 = 280/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/300 < 280/300 or 42/75 < 56/60
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