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

### 2 Answers | Add Yours

-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 **

To simplify and choose the number:

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

( -2/3) - (-(-3/5)) = ( -2/3) - {-(-3/5))}.

( -2/3) - (-(-3/5)) = ( -2/3) - (3/5), as -(-x) = +x or x.

( -2/3) - (-(-3/5)) = (-2/3) - 3/5 = -(2/3+3/5) .

( -2/3) - (-(-3/5) = - {2*5/3*5 +3*3/5*3), as LCM of denominators = 3*5 = 15.

( -2/3) - (-(-3/5) = -(10+9)/15 = -19/15.

So choice d is correct.