Add 35/6 and 40/42, Solve 5 5/6 + 40/42 as a fraction

Add 35/6 and 40/42

1^st number: 5 5/6, 2^nd number: 40/42

35/6 + 40/42 is 95/14.

Find the least common denominator or LCM of the two denominators:
LCM of 6 and 42 is 42

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 6 × 7 = 42,
35/6 = 35 × 7/6 × 7 = 245/42
Likewise, for the 2nd fraction, since 42 × 1 = 42,
40/42 = 40 × 1/42 × 1 = 40/42
Add the two like fractions:
245/42 + 40/42 = 245 + 40/42 = 285/42
285/42 simplified gives 95/14
So, 35/6 + 40/42 = 95/14
In mixed form: 611/14

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