Compare 3/64 and 20/9
1st number: 3/64, 2nd number: 2 2/9
3/64 is smaller than 20/9
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,
3/64 = 3 × 9/64 × 9 = 27/576 - Likewise, for the 2nd fraction, since 9 × 64 = 576,
20/9 = 20 × 64/9 × 64 = 1280/576 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/576 < 1280/576 or 3/64 < 20/9
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