How do you simplify (1/2 + 2/(5i)) + (1/20 - 1/(5i))?

1 Answer
Jul 17, 2015

11/20+1/(5i)

Explanation:

(1/2+2/(5i))+(1/20-1/(5i))

We can remove the parenthesis:

1/2+2/(5i)+1/20-1/(5i)

Rearranging a bit:

1/2+1/20+2/(5i)-1/(5i)

We need to make the denominators of 1/2 and 1/20 alike and we can see that the denominators of 2/(5i) and -1/(5i) are already alike.

1/2*10/10=10/20

So,

1/2+1/20+2/(5i)-1/(5i)=10/20+1/20+(2-1)/(5i)

=11/20+1/(5i)