Compare 1/6 and 21/27
1/6 is smaller than 21/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 27 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 6 × 9 = 54,
1/6 = 1 × 9/6 × 9 = 9/54 - Likewise, for the 2nd fraction, since 27 × 2 = 54,
21/27 = 21 × 2/27 × 2 = 42/54 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 9/54 < 42/54 or 1/6 < 21/27
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