Compare 8/18 and 20/28
8/18 is smaller than 20/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 28 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 18 × 14 = 252,
8/18 = 8 × 14/18 × 14 = 112/252 - Likewise, for the 2nd fraction, since 28 × 9 = 252,
20/28 = 20 × 9/28 × 9 = 180/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 112/252 < 180/252 or 8/18 < 20/28
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