Compare 21/6 and 75/8
1st number: 3 3/6, 2nd number: 9 3/8
21/6 is smaller than 75/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 8 is 24
Next, find the equivalent fraction of both fractional numbers with denominator 24 - For the 1st fraction, since 6 × 4 = 24,
21/6 = 21 × 4/6 × 4 = 84/24 - Likewise, for the 2nd fraction, since 8 × 3 = 24,
75/8 = 75 × 3/8 × 3 = 225/24 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/24 < 225/24 or 21/6 < 75/8
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