Add 8/3 and 35/42
1st number: 2 2/3, 2nd number: 35/42
8/3 + 35/42 is 7/2.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 42 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 3 × 14 = 42,
8/3 = 8 × 14/3 × 14 = 112/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
35/42 = 35 × 1/42 × 1 = 35/42 - Add the two like fractions:
112/42 + 35/42 = 112 + 35/42 = 147/42 - 147/42 simplified gives 7/2
- So, 8/3 + 35/42 = 7/2
In mixed form: 31/2
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