Add 35/12 and 70/42, Solve 2 11/12 + 1 28/42 as a fraction

Add 35/12 and 70/42

1^st number: 2 11/12, 2^nd number: 1 28/42

35/12 + 70/42 is 55/12.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 42 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 12 × 7 = 84,
35/12 = 35 × 7/12 × 7 = 245/84
Likewise, for the 2nd fraction, since 42 × 2 = 84,
70/42 = 70 × 2/42 × 2 = 140/84
Add the two like fractions:
245/84 + 140/84 = 245 + 140/84 = 385/84
385/84 simplified gives 55/12
So, 35/12 + 70/42 = 55/12
In mixed form: 47/12

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