Compare 9/32 and 40/27
1st number: 9/32, 2nd number: 1 13/27
9/32 is smaller than 40/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 27 is 864
Next, find the equivalent fraction of both fractional numbers with denominator 864 - For the 1st fraction, since 32 × 27 = 864,
9/32 = 9 × 27/32 × 27 = 243/864 - Likewise, for the 2nd fraction, since 27 × 32 = 864,
40/27 = 40 × 32/27 × 32 = 1280/864 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 243/864 < 1280/864 or 9/32 < 40/27
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