Compare 9/64 and 40/6
1st number: 9/64, 2nd number: 6 4/6
9/64 is smaller than 40/6
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 6 is 192
Next, find the equivalent fraction of both fractional numbers with denominator 192 - For the 1st fraction, since 64 × 3 = 192,
9/64 = 9 × 3/64 × 3 = 27/192 - Likewise, for the 2nd fraction, since 6 × 32 = 192,
40/6 = 40 × 32/6 × 32 = 1280/192 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/192 < 1280/192 or 9/64 < 40/6
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