Add 35/2 and 9/21, Solve 17 1/2 + 9/21 as a fraction

Add 35/2 and 9/21

1^st number: 17 1/2, 2^nd number: 9/21

35/2 + 9/21 is 251/14.

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,
9/21 = 9 × 2/21 × 2 = 18/42
Add the two like fractions:
735/42 + 18/42 = 735 + 18/42 = 753/42
753/42 simplified gives 251/14
So, 35/2 + 9/21 = 251/14
In mixed form: 1713/14

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