Add 27/12 and 35/21, Solve 2 3/12 + 1 14/21 as a fraction

Add 27/12 and 35/21

1^st number: 2 3/12, 2^nd number: 1 14/21

27/12 + 35/21 is 47/12.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 21 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 12 × 7 = 84,
27/12 = 27 × 7/12 × 7 = 189/84
Likewise, for the 2nd fraction, since 21 × 4 = 84,
35/21 = 35 × 4/21 × 4 = 140/84
Add the two like fractions:
189/84 + 140/84 = 189 + 140/84 = 329/84
329/84 simplified gives 47/12
So, 27/12 + 35/21 = 47/12
In mixed form: 311/12

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