Compare 6/9 and 25/64
6/9 is greater than 25/64
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,
6/9 = 6 × 64/9 × 64 = 384/576 - Likewise, for the 2nd fraction, since 64 × 9 = 576,
25/64 = 25 × 9/64 × 9 = 225/576 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 384/576 > 225/576 or 6/9 > 25/64
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