Compare 3/12 and 36/81
3/12 is smaller than 36/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 81 is 324
Next, find the equivalent fraction of both fractional numbers with denominator 324 - For the 1st fraction, since 12 × 27 = 324,
3/12 = 3 × 27/12 × 27 = 81/324 - Likewise, for the 2nd fraction, since 81 × 4 = 324,
36/81 = 36 × 4/81 × 4 = 144/324 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/324 < 144/324 or 3/12 < 36/81
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