Compare 9/84 and 12/27
9/84 is smaller than 12/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 27 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 84 × 9 = 756,
9/84 = 9 × 9/84 × 9 = 81/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
12/27 = 12 × 28/27 × 28 = 336/756 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/756 < 336/756 or 9/84 < 12/27
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