Compare 6/20 and 42/54
6/20 is smaller than 42/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 54 is 540
Next, find the equivalent fraction of both fractional numbers with denominator 540 - For the 1st fraction, since 20 × 27 = 540,
6/20 = 6 × 27/20 × 27 = 162/540 - Likewise, for the 2nd fraction, since 54 × 10 = 540,
42/54 = 42 × 10/54 × 10 = 420/540 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 162/540 < 420/540 or 6/20 < 42/54
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