Compare 7/84 and 30/54
7/84 is smaller than 30/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 54 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 84 × 9 = 756,
7/84 = 7 × 9/84 × 9 = 63/756 - Likewise, for the 2nd fraction, since 54 × 14 = 756,
30/54 = 30 × 14/54 × 14 = 420/756 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/756 < 420/756 or 7/84 < 30/54
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