Compare 21/8 and 84/24
1st number: 2 5/8, 2nd number: 3 12/24
21/8 is smaller than 84/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 24 is 24
Next, find the equivalent fraction of both fractional numbers with denominator 24 - For the 1st fraction, since 8 × 3 = 24,
21/8 = 21 × 3/8 × 3 = 63/24 - Likewise, for the 2nd fraction, since 24 × 1 = 24,
84/24 = 84 × 1/24 × 1 = 84/24 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/24 < 84/24 or 21/8 < 84/24
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