Compare 15/18 and 40/84
15/18 is greater than 40/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 84 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 18 × 14 = 252,
15/18 = 15 × 14/18 × 14 = 210/252 - Likewise, for the 2nd fraction, since 84 × 3 = 252,
40/84 = 40 × 3/84 × 3 = 120/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/252 > 120/252 or 15/18 > 40/84
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