Compare 30/64 and 10/56
30/64 is greater than 10/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 56 is 448
Next, find the equivalent fraction of both fractional numbers with denominator 448 - For the 1st fraction, since 64 × 7 = 448,
30/64 = 30 × 7/64 × 7 = 210/448 - Likewise, for the 2nd fraction, since 56 × 8 = 448,
10/56 = 10 × 8/56 × 8 = 80/448 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/448 > 80/448 or 30/64 > 10/56
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