Simplify -3/4 r + 3 - 5/6r - 6
To simplify this expression, we start by combining like terms.
The terms with r are -3/4r and -5/6r. To combine them, we need a common denominator. The least common multiple of 4 and 6 is 12. So we rewrite -3/4r as -9/12r and -5/6r as -10/12r.
Now, we can combine the terms: -9/12r - 10/12r = (-9-10)/12r = -19/12r.
Next, we simplify the constant terms. 3 - 6 = -3.
Finally, we combine the simplified terms: -19/12r - 3.
To simplify the expression -3/4r + 3 - 5/6r - 6, combine like terms:
-3/4r - 5/6r + 3 - 6
-13/12r - 3
So, the simplified expression is -13/12r - 3.
To simplify the expression -3/4r + 3 - 5/6r - 6, we need to combine like terms.
Step 1: Combine the constant terms
The constants in the expression are 3 and -6. To combine them, we can add or subtract them:
3 - 6 = -3
Step 2: Combine the terms with the variable r
The terms with the variable r are -3/4r and -5/6r. To combine them, we need to find a common denominator. The least common multiple of 4 and 6 is 12.
-3/4r can be rewritten with a denominator of 12 by multiplying the numerator and denominator by 3:
-3/4r = -9/12r
-5/6r can be rewritten with a denominator of 12 by multiplying the numerator and denominator by 2:
-5/6r = -10/12r
Now, we can combine -9/12r and -10/12r:
-9/12r - 10/12r = -19/12r
Step 3: Combine the constant term and the term with the variable r
Now, we have -3 and -19/12r. We can combine them:
-3 + (-19/12r) = -3 - 19/12r
Therefore, the simplified expression is -3 - 19/12r.