Add 35/8 and 21/12
1st number: 4 3/8, 2nd number: 1 9/12
35/8 + 21/12 is 49/8.
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,
21/12 = 21 × 2/12 × 2 = 42/24 - Add the two like fractions:
105/24 + 42/24 = 105 + 42/24 = 147/24 - 147/24 simplified gives 49/8
- So, 35/8 + 21/12 = 49/8
In mixed form: 61/8
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