solve for c. express your answer as a proper or improper fraction in simplest terms.
-1/2 = 2/11c - 3/4
To solve for c, we need to isolate the variable on one side of the equation.
Let's start by getting rid of the fractions.
First, let's find a common denominator for all the fractions involved. The denominators are 2, 11, and 4. The least common multiple of these three numbers is 44.
Multiply every term in the equation by 44 to eliminate the fractions:
44 * (-1/2) = 44 * (2/11c) - 44 * (3/4)
(-44/2) = (88/11c) - (132/4)
Next, simplify each term:
-22 = 8c/11 - 33
Now, let's isolate the variable by combining like terms:
-22 + 33 = 8c/11
11 = 8c/11
To get rid of the fraction, we can multiply both sides of the equation by 11:
11 * 11 = 8c * 11/11
121 = 8c
Finally, divide both sides of the equation by 8 to solve for c:
121/8 = c
Therefore, c = 121/8.