Question

2z + 3/8 =3 7/8
How do I work out this problem.

Answer 1

`z=(14)/(8) = 1.75`

Explanation:

I will assume you are solving for z. To solve for a variable, we are looking to get it alone on one side of the equals side, and everything else on the other side.

Here's the given equation:

`2z+(3)/(8)=(31)/(8)`

Note, I turned the mixed fraction into an improper fraction. This will make it much easier to work with.

There are two terms on the left side:
`2z` and
`(3)/(8)`. Only one of them has a Z in it, so lets move it to the right side of the equals sign. We can do this by subtracting each side by
`(3)/(8)`.

`2z+(3)/(8) -(3)/(8) = (31)/(8) -(3)/(8)`

We can then combine like terms:

`2z= (28)/(8)`

Then, we can divide each side by 2 to turn 2z into z:

`z=(14)/(8)`

Therefore,
`z=(14)/(8) = 1.75`