Compare 3/5 and 21/27
3/5 is smaller than 21/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 27 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 5 × 27 = 135,
3/5 = 3 × 27/5 × 27 = 81/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
21/27 = 21 × 5/27 × 5 = 105/135 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/135 < 105/135 or 3/5 < 21/27
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