Add 35/8 and 75/12
1st number: 4 3/8, 2nd number: 6 3/12
35/8 + 75/12 is 85/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 12 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 12 × 2 = 24,
75/12 = 75 × 2/12 × 2 = 150/24 - Add the two like fractions:
105/24 + 150/24 = 105 + 150/24 = 255/24 - 255/24 simplified gives 85/8
- So, 35/8 + 75/12 = 85/8
In mixed form: 105/8
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