Compare 27/32 and 7/40
27/32 is greater than 7/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 40 is 160
Next, find the equivalent fraction of both fractional numbers with denominator 160 - For the 1st fraction, since 32 × 5 = 160,
27/32 = 27 × 5/32 × 5 = 135/160 - Likewise, for the 2nd fraction, since 40 × 4 = 160,
7/40 = 7 × 4/40 × 4 = 28/160 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/160 > 28/160 or 27/32 > 7/40
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