Which number below is the same as ( -2/3) - (-(-3/5))?a. 4/15 b.-4/15 c. -1/2 d. -19/15

-2/3 - (- ( -3/5)

Let us
re-write:

-2/3
-1(-1)-3/5)

First we will start from the right to the
left.

We know that -1*-3/5 = +
3/5

==> -2/3 - (-(-3/5) = -2/3 -1 ( +
3/5)

Also, -1*+3/5 =
-3/5

==> -2/3 -(-(-3/5) = -2/3 -
3/5

 Now we will re-write using the common denominator (
15).

==> -2/3- 3/5 = ( -2*5 - 3*3) /
15

                        = -10 - 9 ) /
15

                         = -19 /
15

Then the answer is
(d).

-2/3 - (-(-3/5) = -19/15