Compare 21/84 and 8/3
1st number: 21/84, 2nd number: 2 2/3
21/84 is smaller than 8/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 3 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 84 × 1 = 84,
21/84 = 21 × 1/84 × 1 = 21/84 - Likewise, for the 2nd fraction, since 3 × 28 = 84,
8/3 = 8 × 28/3 × 28 = 224/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 21/84 < 224/84 or 21/84 < 8/3
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