Compare 35/3 and 75/8
1st number: 11 2/3, 2nd number: 9 3/8
35/3 is greater than 75/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 8 is 24
Next, find the equivalent fraction of both fractional numbers with denominator 24 - For the 1st fraction, since 3 × 8 = 24,
35/3 = 35 × 8/3 × 8 = 280/24 - 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
- 280/24 > 225/24 or 35/3 > 75/8
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