Compare 20/27 and 15/72
20/27 is greater than 15/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 72 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 27 × 8 = 216,
20/27 = 20 × 8/27 × 8 = 160/216 - Likewise, for the 2nd fraction, since 72 × 3 = 216,
15/72 = 15 × 3/72 × 3 = 45/216 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/216 > 45/216 or 20/27 > 15/72
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