Add 40/3 and 35/7, Solve 13 1/3 + 5 0/7 as a fraction

Add 40/3 and 35/7

1^st number: 13 1/3, 2^nd number: 5 0/7

40/3 + 35/7 is 55/3.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 7 is 21

Next, find the equivalent fraction of both fractional numbers with denominator 21
For the 1st fraction, since 3 × 7 = 21,
40/3 = 40 × 7/3 × 7 = 280/21
Likewise, for the 2nd fraction, since 7 × 3 = 21,
35/7 = 35 × 3/7 × 3 = 105/21
Add the two like fractions:
280/21 + 105/21 = 280 + 105/21 = 385/21
385/21 simplified gives 55/3
So, 40/3 + 35/7 = 55/3
In mixed form: 181/3

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