Compare 10/18 and 18/28
10/18 is smaller than 18/28
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,
10/18 = 10 × 14/18 × 14 = 140/252 - Likewise, for the 2nd fraction, since 28 × 9 = 252,
18/28 = 18 × 9/28 × 9 = 162/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 140/252 < 162/252 or 10/18 < 18/28
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