Add 7/2 and 27/84, Solve 3 1/2 + 27/84 as a fraction

Add 7/2 and 27/84

1^st number: 3 1/2, 2^nd number: 27/84

7/2 + 27/84 is 107/28.

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,
27/84 = 27 × 1/84 × 1 = 27/84
Add the two like fractions:
294/84 + 27/84 = 294 + 27/84 = 321/84
321/84 simplified gives 107/28
So, 7/2 + 27/84 = 107/28
In mixed form: 323/28

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