Compare 3/7 and 21/27
3/7 is smaller than 21/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 7 × 27 = 189,
3/7 = 3 × 27/7 × 27 = 81/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
21/27 = 21 × 7/27 × 7 = 147/189 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/189 < 147/189 or 3/7 < 21/27
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