Compare 12/20 and 40/54
12/20 is smaller than 40/54
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,
12/20 = 12 × 27/20 × 27 = 324/540 - Likewise, for the 2nd fraction, since 54 × 10 = 540,
40/54 = 40 × 10/54 × 10 = 400/540 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 324/540 < 400/540 or 12/20 < 40/54
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