Simplify −3/4r + 3 − 5/6r − 6.

Answer 1

To simplify this expression, we need to combine like terms.

Combining the coefficients of the "r" terms, we have: (-3/4 - 5/6)r

To add these fractions, we need to find a common denominator. The least common multiple of 4 and 6 is 12.

Multiply the numerator and denominator of -3/4 by 3 to get -9/12.
Multiply the numerator and denominator of -5/6 by 2 to get -10/12.

So now we have: (-9/12 - 10/12)r

Simplifying the numerator gives us: -19/12r

And finally, combining the constant terms: 3 - 6 = -3

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