Compare 35/8 and 40/3
1st number: 4 3/8, 2nd number: 13 1/3
35/8 is smaller than 40/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 3 is 24
Next, find the equivalent fraction of both fractional numbers with denominator 24 - For the 1st fraction, since 8 × 3 = 24,
35/8 = 35 × 3/8 × 3 = 105/24 - Likewise, for the 2nd fraction, since 3 × 8 = 24,
40/3 = 40 × 8/3 × 8 = 320/24 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/24 < 320/24 or 35/8 < 40/3
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