Compare 20/27 and 16/18
20/27 is smaller than 16/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 18 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 27 × 2 = 54,
20/27 = 20 × 2/27 × 2 = 40/54 - Likewise, for the 2nd fraction, since 18 × 3 = 54,
16/18 = 16 × 3/18 × 3 = 48/54 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/54 < 48/54 or 20/27 < 16/18
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