Add 40/6 and 81/7, Solve 6 4/6 + 11 4/7 as a fraction

Add 40/6 and 81/7

1^st number: 6 4/6, 2^nd number: 11 4/7

40/6 + 81/7 is 383/21.

Find the least common denominator or LCM of the two denominators:
LCM of 6 and 7 is 42

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 6 × 7 = 42,
40/6 = 40 × 7/6 × 7 = 280/42
Likewise, for the 2nd fraction, since 7 × 6 = 42,
81/7 = 81 × 6/7 × 6 = 486/42
Add the two like fractions:
280/42 + 486/42 = 280 + 486/42 = 766/42
766/42 simplified gives 383/21
So, 40/6 + 81/7 = 383/21
In mixed form: 185/21

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