Compare 9/56 and 10/32
9/56 is smaller than 10/32
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,
9/56 = 9 × 4/56 × 4 = 36/224 - Likewise, for the 2nd fraction, since 32 × 7 = 224,
10/32 = 10 × 7/32 × 7 = 70/224 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/224 < 70/224 or 9/56 < 10/32
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