Add 7/2 and 35/42
1st number: 3 1/2, 2nd number: 35/42
7/2 + 35/42 is 13/3.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 42 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 2 × 21 = 42,
7/2 = 7 × 21/2 × 21 = 147/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
35/42 = 35 × 1/42 × 1 = 35/42 - Add the two like fractions:
147/42 + 35/42 = 147 + 35/42 = 182/42 - 182/42 simplified gives 13/3
- So, 7/2 + 35/42 = 13/3
In mixed form: 41/3
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