Compare 8/9 and 35/64
8/9 is greater than 35/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 64 is 576
Next, find the equivalent fraction of both fractional numbers with denominator 576 - For the 1st fraction, since 9 × 64 = 576,
8/9 = 8 × 64/9 × 64 = 512/576 - Likewise, for the 2nd fraction, since 64 × 9 = 576,
35/64 = 35 × 9/64 × 9 = 315/576 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 512/576 > 315/576 or 8/9 > 35/64
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