Compare 1/64 and 40/9
1st number: 1/64, 2nd number: 4 4/9
1/64 is smaller than 40/9
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,
1/64 = 1 × 9/64 × 9 = 9/576 - Likewise, for the 2nd fraction, since 9 × 64 = 576,
40/9 = 40 × 64/9 × 64 = 2560/576 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 9/576 < 2560/576 or 1/64 < 40/9
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