Question

Solve for c. Express your answer as a

proper or improper fraction in simplest
terms.
56
+
1
8
1
2

Answer 1

`c = -(32)/(3)`

Explanation:

Pre-Solving

We are given the following equation:

`(5)/(6)+(1)/(8)c = -(1)/(2)`

We want to solve for c.

To do this, we need to isolate c on one side.

Since each term is a fraction, we can multiply both sides by the LCM of the numbers that are in the denominator.

Since we have 6, 8, and 2, the LCM is 24.

Solving

We can multiply both sides by 24.

`24((5)/(6)+(1)/(8)c) = 24(-(1)/(2))`

We get:

20 + 3c = -12

Subtract 20 from both sides.

3c = -32

Divide both sides by 3.

`c = -(32)/(3)`