Add 84/35 and 16/12, Solve 2 14/35 + 1 4/12 as a fraction

Add 84/35 and 16/12

1^st number: 2 14/35, 2^nd number: 1 4/12

84/35 + 16/12 is 56/15.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 12 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 35 × 12 = 420,
84/35 = 84 × 12/35 × 12 = 1008/420
Likewise, for the 2nd fraction, since 12 × 35 = 420,
16/12 = 16 × 35/12 × 35 = 560/420
Add the two like fractions:
1008/420 + 560/420 = 1008 + 560/420 = 1568/420
1568/420 simplified gives 56/15
So, 84/35 + 16/12 = 56/15
In mixed form: 311/15

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