Compare 9/12 and 42/54
9/12 is smaller than 42/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 54 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 12 × 9 = 108,
9/12 = 9 × 9/12 × 9 = 81/108 - Likewise, for the 2nd fraction, since 54 × 2 = 108,
42/54 = 42 × 2/54 × 2 = 84/108 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/108 < 84/108 or 9/12 < 42/54
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