Compare 5/9 and 21/27
5/9 is smaller than 21/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 27 is 27
Next, find the equivalent fraction of both fractional numbers with denominator 27 - For the 1st fraction, since 9 × 3 = 27,
5/9 = 5 × 3/9 × 3 = 15/27 - Likewise, for the 2nd fraction, since 27 × 1 = 27,
21/27 = 21 × 1/27 × 1 = 21/27 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 15/27 < 21/27 or 5/9 < 21/27
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