Add 10/3 and 30/42, Solve 3 1/3 + 30/42 as a fraction

Add 10/3 and 30/42

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

10/3 + 30/42 is 85/21.

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,
10/3 = 10 × 14/3 × 14 = 140/42
Likewise, for the 2nd fraction, since 42 × 1 = 42,
30/42 = 30 × 1/42 × 1 = 30/42
Add the two like fractions:
140/42 + 30/42 = 140 + 30/42 = 170/42
170/42 simplified gives 85/21
So, 10/3 + 30/42 = 85/21
In mixed form: 41/21

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