Compare 10/27 and 32/36
10/27 is smaller than 32/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 36 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 27 × 4 = 108,
10/27 = 10 × 4/27 × 4 = 40/108 - Likewise, for the 2nd fraction, since 36 × 3 = 108,
32/36 = 32 × 3/36 × 3 = 96/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/108 < 96/108 or 10/27 < 32/36
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