Add 35/2 and 36/21, Solve 17 1/2 + 1 15/21 as a fraction

Add 35/2 and 36/21

1^st number: 17 1/2, 2^nd number: 1 15/21

35/2 + 36/21 is 269/14.

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,
36/21 = 36 × 2/21 × 2 = 72/42
Add the two like fractions:
735/42 + 72/42 = 735 + 72/42 = 807/42
807/42 simplified gives 269/14
So, 35/2 + 36/21 = 269/14
In mixed form: 193/14

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