Compare 5/7 and 27/32
5/7 is smaller than 27/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 32 is 224
Next, find the equivalent fraction of both fractional numbers with denominator 224 - For the 1st fraction, since 7 × 32 = 224,
5/7 = 5 × 32/7 × 32 = 160/224 - Likewise, for the 2nd fraction, since 32 × 7 = 224,
27/32 = 27 × 7/32 × 7 = 189/224 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/224 < 189/224 or 5/7 < 27/32
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