Compare 3/15 and 21/27
3/15 is smaller than 21/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 27 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 15 × 9 = 135,
3/15 = 3 × 9/15 × 9 = 27/135 - 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
- 27/135 < 105/135 or 3/15 < 21/27
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