Compare 5/27 and 7/32
5/27 is smaller than 7/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 32 is 864
Next, find the equivalent fraction of both fractional numbers with denominator 864 - For the 1st fraction, since 27 × 32 = 864,
5/27 = 5 × 32/27 × 32 = 160/864 - Likewise, for the 2nd fraction, since 32 × 27 = 864,
7/32 = 7 × 27/32 × 27 = 189/864 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/864 < 189/864 or 5/27 < 7/32
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