Add 8/3 and 35/30, Solve 2 2/3 + 1 5/30 as a fraction

Add 8/3 and 35/30

1^st number: 2 2/3, 2^nd number: 1 5/30

8/3 + 35/30 is 23/6.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 30 is 30

Next, find the equivalent fraction of both fractional numbers with denominator 30
For the 1st fraction, since 3 × 10 = 30,
8/3 = 8 × 10/3 × 10 = 80/30
Likewise, for the 2nd fraction, since 30 × 1 = 30,
35/30 = 35 × 1/30 × 1 = 35/30
Add the two like fractions:
80/30 + 35/30 = 80 + 35/30 = 115/30
115/30 simplified gives 23/6
So, 8/3 + 35/30 = 23/6
In mixed form: 35/6

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