Simplify -3/4 r+3 -5/6 r-6
To simplify the expression -3/4 r + 3 - 5/6 r - 6, first combine like terms:
-3/4 r - 5/6 r + 3 - 6
Next, we need to find a common denominator for -3/4 and -5/6. The least common denominator (LCD) for 4 and 6 is 12.
Converting -3/4 to have a denominator of 12:
((-3/4) * 3) / (3/4) = -9/12
Converting -5/6 to have a denominator of 12:
((-5/6) * 2) / (2/6) = -10/12
Now we can rewrite the expression:
-9/12 r - 10/12 r + 3 - 6
Simplifying further:
(-9/12 - 10/12) r + (3 - 6)
-19/12 r + (-3)
The simplified expression is -19/12 r - 3.