Compare 15/27 and 40/84
15/27 is greater than 40/84
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,
40/84 = 40 × 9/84 × 9 = 360/756 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 420/756 > 360/756 or 15/27 > 40/84
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