Compare 4/15 and 20/27
4/15 is smaller than 20/27
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,
4/15 = 4 × 9/15 × 9 = 36/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
20/27 = 20 × 5/27 × 5 = 100/135 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/135 < 100/135 or 4/15 < 20/27
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