Compare 27/32 and 40/10
1st number: 27/32, 2nd number: 4 0/10
27/32 is smaller than 40/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 10 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 10 × 16 = 160,
40/10 = 40 × 16/10 × 16 = 640/160 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/160 < 640/160 or 27/32 < 40/10
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