Add 35/2 and 14/21
1st number: 17 1/2, 2nd number: 14/21
35/2 + 14/21 is 109/6.
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,
35/2 = 35 × 21/2 × 21 = 735/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
14/21 = 14 × 2/21 × 2 = 28/42 - Add the two like fractions:
735/42 + 28/42 = 735 + 28/42 = 763/42 - 763/42 simplified gives 109/6
- So, 35/2 + 14/21 = 109/6
In mixed form: 181/6
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