Compare 18/24 and 42/54
18/24 is smaller than 42/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 54 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 24 × 9 = 216,
18/24 = 18 × 9/24 × 9 = 162/216 - Likewise, for the 2nd fraction, since 54 × 4 = 216,
42/54 = 42 × 4/54 × 4 = 168/216 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 162/216 < 168/216 or 18/24 < 42/54
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