Add 35/4 and 30/12, Solve 8 3/4 + 2 6/12 as a fraction

Add 35/4 and 30/12

1^st number: 8 3/4, 2^nd number: 2 6/12

35/4 + 30/12 is 45/4.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 12 is 12

Next, find the equivalent fraction of both fractional numbers with denominator 12
For the 1st fraction, since 4 × 3 = 12,
35/4 = 35 × 3/4 × 3 = 105/12
Likewise, for the 2nd fraction, since 12 × 1 = 12,
30/12 = 30 × 1/12 × 1 = 30/12
Add the two like fractions:
105/12 + 30/12 = 105 + 30/12 = 135/12
135/12 simplified gives 45/4
So, 35/4 + 30/12 = 45/4
In mixed form: 111/4

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