Compare 10/12 and 81/90
10/12 is smaller than 81/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 90 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 12 × 15 = 180,
10/12 = 10 × 15/12 × 15 = 150/180 - Likewise, for the 2nd fraction, since 90 × 2 = 180,
81/90 = 81 × 2/90 × 2 = 162/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/180 < 162/180 or 10/12 < 81/90
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