Compare 10/28 and 18/36
10/28 is smaller than 18/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 36 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 28 × 9 = 252,
10/28 = 10 × 9/28 × 9 = 90/252 - Likewise, for the 2nd fraction, since 36 × 7 = 252,
18/36 = 18 × 7/36 × 7 = 126/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/252 < 126/252 or 10/28 < 18/36
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