Compare 40/54 and 15/20
40/54 is smaller than 15/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 20 is 540
Next, find the equivalent fraction of both fractional numbers with denominator 540 - For the 1st fraction, since 54 × 10 = 540,
40/54 = 40 × 10/54 × 10 = 400/540 - Likewise, for the 2nd fraction, since 20 × 27 = 540,
15/20 = 15 × 27/20 × 27 = 405/540 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 400/540 < 405/540 or 40/54 < 15/20
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