Compare 20/54 and 40/21
1st number: 20/54, 2nd number: 1 19/21
20/54 is smaller than 40/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 21 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 54 × 7 = 378,
20/54 = 20 × 7/54 × 7 = 140/378 - Likewise, for the 2nd fraction, since 21 × 18 = 378,
40/21 = 40 × 18/21 × 18 = 720/378 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 140/378 < 720/378 or 20/54 < 40/21
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