Compare 30/84 and 21/54
30/84 is smaller than 21/54
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,
30/84 = 30 × 9/84 × 9 = 270/756 - Likewise, for the 2nd fraction, since 54 × 14 = 756,
21/54 = 21 × 14/54 × 14 = 294/756 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/756 < 294/756 or 30/84 < 21/54
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