Compare 15/27 and 8/84
15/27 is greater than 8/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 84 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 27 × 28 = 756,
15/27 = 15 × 28/27 × 28 = 420/756 - Likewise, for the 2nd fraction, since 84 × 9 = 756,
8/84 = 8 × 9/84 × 9 = 72/756 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 420/756 > 72/756 or 15/27 > 8/84
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