Compare 4/64 and 2/9
4/64 is smaller than 2/9
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,
4/64 = 4 × 9/64 × 9 = 36/576 - Likewise, for the 2nd fraction, since 9 × 64 = 576,
2/9 = 2 × 64/9 × 64 = 128/576 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/576 < 128/576 or 4/64 < 2/9
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