Compare 42/56 and 30/32
42/56 is smaller than 30/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 32 is 224
Next, find the equivalent fraction of both fractional numbers with denominator 224 - For the 1st fraction, since 56 × 4 = 224,
42/56 = 42 × 4/56 × 4 = 168/224 - Likewise, for the 2nd fraction, since 32 × 7 = 224,
30/32 = 30 × 7/32 × 7 = 210/224 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/224 < 210/224 or 42/56 < 30/32
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