Compare 12/35 and 42/81
12/35 is smaller than 42/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 81 is 2835
Next, find the equivalent fraction of both fractional numbers with denominator 2835 - For the 1st fraction, since 35 × 81 = 2835,
12/35 = 12 × 81/35 × 81 = 972/2835 - Likewise, for the 2nd fraction, since 81 × 35 = 2835,
42/81 = 42 × 35/81 × 35 = 1470/2835 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 972/2835 < 1470/2835 or 12/35 < 42/81
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