Compare 12/84 and 9/24
12/84 is smaller than 9/24
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,
12/84 = 12 × 2/84 × 2 = 24/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
9/24 = 9 × 7/24 × 7 = 63/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/168 < 63/168 or 12/84 < 9/24
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