Compare 9/27 and 12/20
9/27 is smaller than 12/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 20 is 540
Next, find the equivalent fraction of both fractional numbers with denominator 540 - For the 1st fraction, since 27 × 20 = 540,
9/27 = 9 × 20/27 × 20 = 180/540 - Likewise, for the 2nd fraction, since 20 × 27 = 540,
12/20 = 12 × 27/20 × 27 = 324/540 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/540 < 324/540 or 9/27 < 12/20
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