One fifth the sum of one half and one third

Rewrite the equation as

1/5 * (1/2 + 1/3)

We must first solve the stuff inside the parentheses, to do this we must find a common denominator, in this case 6

1/2 becomes 3/6 and 1/3 becomes 2/6 thus (1/2 + 1/3) = (3/6 + 2/6) = (5/6)

Now we can multiple (1/5) * (5/6) you can cancel out the 5's and then you are left with you answer

1/6

1/5 (1/2 + 1/3)

1/5 (3/6 + 2/6)

1/5 (5/6)

5/30

1/6