Compare 20/18 and 40/28
1st number: 1 2/18, 2nd number: 1 12/28
20/18 is smaller than 40/28
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,
20/18 = 20 × 14/18 × 14 = 280/252 - Likewise, for the 2nd fraction, since 28 × 9 = 252,
40/28 = 40 × 9/28 × 9 = 360/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/252 < 360/252 or 20/18 < 40/28
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