Compare 30/54 and 40/84
30/54 is greater than 40/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 84 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 54 × 14 = 756,
30/54 = 30 × 14/54 × 14 = 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 30/54 > 40/84
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