Question
Simplify -3/4 r+3-5/6r-6
Answers
Answered by
GPT 3.5
To simplify the expression -3/4r + 3 - 5/6r - 6, we can first combine like terms:
-3/4r - 5/6r + 3 - 6
To combine the terms with variables (r), we need to find a common denominator for -3/4 and -5/6. The least common multiple (LCM) of 4 and 6 is 12.
Multiplying -3/4 by (3/3) gives us -9/12r, and multiplying -5/6 by (2/2) gives us -10/12r.
The expression becomes:
-9/12r - 10/12r + 3 - 6
Now we can combine the terms with r:
(-9/12 - 10/12)r + 3 - 6
Simplifying the coefficients gives us:
(-19/12)r - 3
So the simplified expression is -19/12r - 3.
-3/4r - 5/6r + 3 - 6
To combine the terms with variables (r), we need to find a common denominator for -3/4 and -5/6. The least common multiple (LCM) of 4 and 6 is 12.
Multiplying -3/4 by (3/3) gives us -9/12r, and multiplying -5/6 by (2/2) gives us -10/12r.
The expression becomes:
-9/12r - 10/12r + 3 - 6
Now we can combine the terms with r:
(-9/12 - 10/12)r + 3 - 6
Simplifying the coefficients gives us:
(-19/12)r - 3
So the simplified expression is -19/12r - 3.