Compare 8/20 and 20/27
8/20 is smaller than 20/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 27 is 540
Next, find the equivalent fraction of both fractional numbers with denominator 540 - For the 1st fraction, since 20 × 27 = 540,
8/20 = 8 × 27/20 × 27 = 216/540 - Likewise, for the 2nd fraction, since 27 × 20 = 540,
20/27 = 20 × 20/27 × 20 = 400/540 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 216/540 < 400/540 or 8/20 < 20/27
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