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

Add 7/2 and 49/21

1^st number: 3 1/2, 2^nd number: 2 7/21

7/2 + 49/21 is 35/6.

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,
7/2 = 7 × 21/2 × 21 = 147/42
Likewise, for the 2nd fraction, since 21 × 2 = 42,
49/21 = 49 × 2/21 × 2 = 98/42
Add the two like fractions:
147/42 + 98/42 = 147 + 98/42 = 245/42
245/42 simplified gives 35/6
So, 7/2 + 49/21 = 35/6
In mixed form: 55/6

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