Compare 7/64 and 6/9
7/64 is smaller than 6/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 9 is 576
Next, find the equivalent fraction of both fractional numbers with denominator 576 - For the 1st fraction, since 64 × 9 = 576,
7/64 = 7 × 9/64 × 9 = 63/576 - Likewise, for the 2nd fraction, since 9 × 64 = 576,
6/9 = 6 × 64/9 × 64 = 384/576 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/576 < 384/576 or 7/64 < 6/9
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