Compare 30/32 and 10/56
30/32 is greater than 10/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 56 is 224
Next, find the equivalent fraction of both fractional numbers with denominator 224 - For the 1st fraction, since 32 × 7 = 224,
30/32 = 30 × 7/32 × 7 = 210/224 - Likewise, for the 2nd fraction, since 56 × 4 = 224,
10/56 = 10 × 4/56 × 4 = 40/224 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/224 > 40/224 or 30/32 > 10/56
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