Compare 9/64 and 8/18
9/64 is smaller than 8/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 18 is 576
Next, find the equivalent fraction of both fractional numbers with denominator 576 - For the 1st fraction, since 64 × 9 = 576,
9/64 = 9 × 9/64 × 9 = 81/576 - Likewise, for the 2nd fraction, since 18 × 32 = 576,
8/18 = 8 × 32/18 × 32 = 256/576 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/576 < 256/576 or 9/64 < 8/18
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