Compare 27/18 and 40/24
1st number: 1 9/18, 2nd number: 1 16/24
27/18 is smaller than 40/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 24 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 18 × 4 = 72,
27/18 = 27 × 4/18 × 4 = 108/72 - Likewise, for the 2nd fraction, since 24 × 3 = 72,
40/24 = 40 × 3/24 × 3 = 120/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/72 < 120/72 or 27/18 < 40/24
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