Compare 9/18 and 20/27
9/18 is smaller than 20/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 27 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 18 × 3 = 54,
9/18 = 9 × 3/18 × 3 = 27/54 - Likewise, for the 2nd fraction, since 27 × 2 = 54,
20/27 = 20 × 2/27 × 2 = 40/54 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/54 < 40/54 or 9/18 < 20/27
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