Compare 27/5 and 81/32
1st number: 5 2/5, 2nd number: 2 17/32
27/5 is greater than 81/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 32 is 160
Next, find the equivalent fraction of both fractional numbers with denominator 160 - For the 1st fraction, since 5 × 32 = 160,
27/5 = 27 × 32/5 × 32 = 864/160 - Likewise, for the 2nd fraction, since 32 × 5 = 160,
81/32 = 81 × 5/32 × 5 = 405/160 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 864/160 > 405/160 or 27/5 > 81/32
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