Question

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

Answer 1

Answer:

$z=\frac{14}{8} = 1.75$

Step-by-step 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:

$2z+\frac{3}{8}=\frac{31}{8}$

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 $\frac{3}{8}$. 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 $\frac{3}{8}$.

$2z+\frac{3}{8} -\frac{3}{8} = \frac{31}{8} -\frac{3}{8}$

We can then combine like terms:

$2z= \frac{28}{8}$

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

$z=\frac{14}{8}$

Therefore, $z=\frac{14}{8} = 1.75$