Add 7/2 and 35/21
1st number: 3 1/2, 2nd number: 1 14/21
7/2 + 35/21 is 31/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 21 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 21 × 2 = 42,
35/21 = 35 × 2/21 × 2 = 70/42 - Add the two like fractions:
147/42 + 70/42 = 147 + 70/42 = 217/42 - 217/42 simplified gives 31/6
- So, 7/2 + 35/21 = 31/6
In mixed form: 51/6
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