Compare 40/81 and 10/12
40/81 is smaller than 10/12
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 12 is 324
Next, find the equivalent fraction of both fractional numbers with denominator 324 - For the 1st fraction, since 81 × 4 = 324,
40/81 = 40 × 4/81 × 4 = 160/324 - Likewise, for the 2nd fraction, since 12 × 27 = 324,
10/12 = 10 × 27/12 × 27 = 270/324 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/324 < 270/324 or 40/81 < 10/12
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