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

Answer 1

To simplify the expression:

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

First, combine like terms:

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

To combine the fractions with the variable 'r', you need to find a common denominator:

The common denominator between 4 and 6 is 12.

-3/4r can be written as -9/12r (multiplying the numerator and denominator by 3)

-5/6r can be written as -10/12r (multiplying the numerator and denominator by 2)

Now, the expression becomes:

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

Combining the like terms in the parentheses:

(-19/12r) + (-3)

Adding the fractions and constants:

-19/12r - 3