Add 7/2 and 21/49, Solve 3 1/2 + 21/49 as a fraction

Add 7/2 and 21/49

1^st number: 3 1/2, 2^nd number: 21/49

7/2 + 21/49 is 55/14.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 49 is 98

Next, find the equivalent fraction of both fractional numbers with denominator 98
For the 1st fraction, since 2 × 49 = 98,
7/2 = 7 × 49/2 × 49 = 343/98
Likewise, for the 2nd fraction, since 49 × 2 = 98,
21/49 = 21 × 2/49 × 2 = 42/98
Add the two like fractions:
343/98 + 42/98 = 343 + 42/98 = 385/98
385/98 simplified gives 55/14
So, 7/2 + 21/49 = 55/14
In mixed form: 313/14

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