Simplify -3/4r +3-5/6r -6
To simplify the expression, we can combine like terms.
The like terms in the expression are -3/4r and -5/6r.
To combine them, we can find a common denominator of 4 and 6, which is 12.
Next, we need to multiply -3/4r by 3/3 and -5/6r by 2/2, in order to have the same denominator of 12:
(-3/4r)(3/3) + 3 - (5/6r)(2/2) - 6
= -9/12r + 3 - 10/12r - 6
Now, we can combine the like terms:
= (-9/12r - 10/12r) + 3 - 6
= -19/12r - 3
Therefore, the simplified expression is -19/12r - 3.
To simplify the expression -3/4r + 3 - 5/6r - 6, follow these steps:
Step 1: Combine like terms involving the variable r.
-3/4r - 5/6r becomes -39/24r - 20/24r.
Step 2: Find a common denominator for the fractions -39/24r and -20/24r.
The common denominator is 24r.
Step 3: Rewrite the fractions with the common denominator of 24r.
The expression becomes (-39 - 20) / 24r.
Step 4: Simplify the numerator.
-39 - 20 equals -59.
Step 5: Rewrite the expression with the simplified numerator.
The expression becomes -59 / 24r + 3 - 6.
Step 6: Simplify the remaining constants.
3 - 6 equals -3.
Step 7: Rewrite the expression with the simplified constants.
The expression becomes -59 / 24r - 3.
Therefore, the simplified expression is -59 / 24r - 3.
To simplify the expression -3/4r + 3 - 5/6r - 6, we can combine like terms and simplify the coefficients.
First, let's combine the terms with 'r' (r is a variable) and the terms without 'r'.
The terms with 'r' are -3/4r and -5/6r. We can combine them by finding a common denominator, which is 12.
To convert -3/4r into twelfths, we multiply both the numerator and denominator by 3, giving us -9/12r.
To convert -5/6r into twelfths, we multiply both the numerator and denominator by 2, giving us -10/12r.
So, the combined terms with 'r' are -9/12r and -10/12r, which can be written as (-9r - 10r)/12 or -19r/12.
Next, let's combine the terms without 'r'. The terms are 3 and -6. Their sum is -3.
Now, we can rewrite the simplified expression as:
-19r/12 + 3 - 3 = -19r/12.
Therefore, the simplified form of -3/4r + 3 - 5/6r - 6 is -19r/12.