Compare 49/81 and 42/54
49/81 is smaller than 42/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 54 is 162
Next, find the equivalent fraction of both fractional numbers with denominator 162 - For the 1st fraction, since 81 × 2 = 162,
49/81 = 49 × 2/81 × 2 = 98/162 - Likewise, for the 2nd fraction, since 54 × 3 = 162,
42/54 = 42 × 3/54 × 3 = 126/162 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 98/162 < 126/162 or 49/81 < 42/54
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