Compare 5/24 and 20/27
5/24 is smaller than 20/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 27 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 24 × 9 = 216,
5/24 = 5 × 9/24 × 9 = 45/216 - Likewise, for the 2nd fraction, since 27 × 8 = 216,
20/27 = 20 × 8/27 × 8 = 160/216 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/216 < 160/216 or 5/24 < 20/27
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