Add 15/2 and 35/21, Solve 7 1/2 + 1 14/21 as a fraction

Add 15/2 and 35/21

1^st number: 7 1/2, 2^nd number: 1 14/21

15/2 + 35/21 is 55/6.

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,
15/2 = 15 × 21/2 × 21 = 315/42
Likewise, for the 2nd fraction, since 21 × 2 = 42,
35/21 = 35 × 2/21 × 2 = 70/42
Add the two like fractions:
315/42 + 70/42 = 315 + 70/42 = 385/42
385/42 simplified gives 55/6
So, 15/2 + 35/21 = 55/6
In mixed form: 91/6

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