Compare 27/28 and 40/18
1st number: 27/28, 2nd number: 2 4/18
27/28 is smaller than 40/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 18 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 28 × 9 = 252,
27/28 = 27 × 9/28 × 9 = 243/252 - Likewise, for the 2nd fraction, since 18 × 14 = 252,
40/18 = 40 × 14/18 × 14 = 560/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 243/252 < 560/252 or 27/28 < 40/18
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