Compare 2/3 and 21/27
2/3 is smaller than 21/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 27 is 27
Next, find the equivalent fraction of both fractional numbers with denominator 27 - For the 1st fraction, since 3 × 9 = 27,
2/3 = 2 × 9/3 × 9 = 18/27 - 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
- 18/27 < 21/27 or 2/3 < 21/27
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