Add 21/2 and 49/18, Solve 10 1/2 + 2 13/18 as a fraction

Add 21/2 and 49/18

1^st number: 10 1/2, 2^nd number: 2 13/18

21/2 + 49/18 is 119/9.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 18 is 18

Next, find the equivalent fraction of both fractional numbers with denominator 18
For the 1st fraction, since 2 × 9 = 18,
21/2 = 21 × 9/2 × 9 = 189/18
Likewise, for the 2nd fraction, since 18 × 1 = 18,
49/18 = 49 × 1/18 × 1 = 49/18
Add the two like fractions:
189/18 + 49/18 = 189 + 49/18 = 238/18
238/18 simplified gives 119/9
So, 21/2 + 49/18 = 119/9
In mixed form: 132/9

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