Compare 40/54 and 6/84
40/54 is greater than 6/84
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,
40/54 = 40 × 14/54 × 14 = 560/756 - Likewise, for the 2nd fraction, since 84 × 9 = 756,
6/84 = 6 × 9/84 × 9 = 54/756 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 560/756 > 54/756 or 40/54 > 6/84
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