Compare 9/56 and 25/64
9/56 is smaller than 25/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 64 is 448
Next, find the equivalent fraction of both fractional numbers with denominator 448 - For the 1st fraction, since 56 × 8 = 448,
9/56 = 9 × 8/56 × 8 = 72/448 - Likewise, for the 2nd fraction, since 64 × 7 = 448,
25/64 = 25 × 7/64 × 7 = 175/448 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/448 < 175/448 or 9/56 < 25/64
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