Compare 12/63 and 42/54
12/63 is smaller than 42/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 63 × 6 = 378,
12/63 = 12 × 6/63 × 6 = 72/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
42/54 = 42 × 7/54 × 7 = 294/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/378 < 294/378 or 12/63 < 42/54
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