Add 40/3 and 49/42, Solve 13 1/3 + 1 7/42 as a fraction

Add 40/3 and 49/42

1^st number: 13 1/3, 2^nd number: 1 7/42

40/3 + 49/42 is 29/2.

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,
40/3 = 40 × 14/3 × 14 = 560/42
Likewise, for the 2nd fraction, since 42 × 1 = 42,
49/42 = 49 × 1/42 × 1 = 49/42
Add the two like fractions:
560/42 + 49/42 = 560 + 49/42 = 609/42
609/42 simplified gives 29/2
So, 40/3 + 49/42 = 29/2
In mixed form: 141/2

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