Add 84/35 and 18/12, Solve 2 14/35 + 1 6/12 as a fraction

Add 84/35 and 18/12

1^st number: 2 14/35, 2^nd number: 1 6/12

84/35 + 18/12 is 39/10.

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,
18/12 = 18 × 35/12 × 35 = 630/420
Add the two like fractions:
1008/420 + 630/420 = 1008 + 630/420 = 1638/420
1638/420 simplified gives 39/10
So, 84/35 + 18/12 = 39/10
In mixed form: 39/10

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