Compare 4/9 and 1/64
4/9 is greater than 1/64
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,
4/9 = 4 × 64/9 × 64 = 256/576 - Likewise, for the 2nd fraction, since 64 × 9 = 576,
1/64 = 1 × 9/64 × 9 = 9/576 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 256/576 > 9/576 or 4/9 > 1/64
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