Add 7/2 and 36/84, Solve 3 1/2 + 36/84 as a fraction

Add 7/2 and 36/84

1^st number: 3 1/2, 2^nd number: 36/84

7/2 + 36/84 is 55/14.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 84 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 2 × 42 = 84,
7/2 = 7 × 42/2 × 42 = 294/84
Likewise, for the 2nd fraction, since 84 × 1 = 84,
36/84 = 36 × 1/84 × 1 = 36/84
Add the two like fractions:
294/84 + 36/84 = 294 + 36/84 = 330/84
330/84 simplified gives 55/14
So, 7/2 + 36/84 = 55/14
In mixed form: 313/14

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