Compare 40/84 and 12/24
40/84 is smaller than 12/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 84 × 2 = 168,
40/84 = 40 × 2/84 × 2 = 80/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
12/24 = 12 × 7/24 × 7 = 84/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/168 < 84/168 or 40/84 < 12/24
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