Compare 6/21 and 30/84
6/21 is smaller than 30/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 84 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 21 × 4 = 84,
6/21 = 6 × 4/21 × 4 = 24/84 - Likewise, for the 2nd fraction, since 84 × 1 = 84,
30/84 = 30 × 1/84 × 1 = 30/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/84 < 30/84 or 6/21 < 30/84
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