Add 35/3 and 30/42, Solve 11 2/3 + 30/42 as a fraction

Add 35/3 and 30/42

1^st number: 11 2/3, 2^nd number: 30/42

35/3 + 30/42 is 260/21.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 42 is 42

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 3 × 14 = 42,
35/3 = 35 × 14/3 × 14 = 490/42
Likewise, for the 2nd fraction, since 42 × 1 = 42,
30/42 = 30 × 1/42 × 1 = 30/42
Add the two like fractions:
490/42 + 30/42 = 490 + 30/42 = 520/42
520/42 simplified gives 260/21
So, 35/3 + 30/42 = 260/21
In mixed form: 128/21

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