Compare 1/27 and 20/24
1/27 is smaller than 20/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 24 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 27 × 8 = 216,
1/27 = 1 × 8/27 × 8 = 8/216 - Likewise, for the 2nd fraction, since 24 × 9 = 216,
20/24 = 20 × 9/24 × 9 = 180/216 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 8/216 < 180/216 or 1/27 < 20/24
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