Simplify -3/4r +3-5/6r -6

1 answer

To simplify the expression, we can combine like terms.

The like terms in the expression are -3/4r and -5/6r.

To combine them, we can find a common denominator of 4 and 6, which is 12.

Next, we need to multiply -3/4r by 3/3 and -5/6r by 2/2, in order to have the same denominator of 12:

(-3/4r)(3/3) + 3 - (5/6r)(2/2) - 6

= -9/12r + 3 - 10/12r - 6

Now, we can combine the like terms:

= (-9/12r - 10/12r) + 3 - 6

= -19/12r - 3

Therefore, the simplified expression is -19/12r - 3.