Compare 3/56 and 42/60
3/56 is smaller than 42/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 60 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 56 × 15 = 840,
3/56 = 3 × 15/56 × 15 = 45/840 - Likewise, for the 2nd fraction, since 60 × 14 = 840,
42/60 = 42 × 14/60 × 14 = 588/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/840 < 588/840 or 3/56 < 42/60
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