Compare 3/21 and 20/54
3/21 is smaller than 20/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 21 × 18 = 378,
3/21 = 3 × 18/21 × 18 = 54/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
20/54 = 20 × 7/54 × 7 = 140/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 54/378 < 140/378 or 3/21 < 20/54
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