Add 27/4 and 49/12, Solve 6 3/4 + 4 1/12 as a fraction

Add 27/4 and 49/12

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

27/4 + 49/12 is 65/6.

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,
27/4 = 27 × 3/4 × 3 = 81/12
Likewise, for the 2nd fraction, since 12 × 1 = 12,
49/12 = 49 × 1/12 × 1 = 49/12
Add the two like fractions:
81/12 + 49/12 = 81 + 49/12 = 130/12
130/12 simplified gives 65/6
So, 27/4 + 49/12 = 65/6
In mixed form: 105/6

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