Solve for z 1/4z=2/5

$\frac{1}{4} z = \frac{2}{5}$

Step 1

Multiply both sides of the equation by $4$ .

$4 (\frac{1}{4} z) = 4 (\frac{2}{5})$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $4 (\frac{1}{4} z)$ .

Combine $\frac{1}{4}$ and $z$ .

$4 \frac{z}{4} = 4 (\frac{2}{5})$

Cancel the common factor of $4$ .

Cancel the common factor.

$4 \frac{z}{4} = 4 (\frac{2}{5})$

Rewrite the expression.

$z = 4 (\frac{2}{5})$

$z = 4 (\frac{2}{5})$

$z = 4 (\frac{2}{5})$

$z = 4 (\frac{2}{5})$

Simplify the right side.

Multiply $4 (\frac{2}{5})$ .

Combine $4$ and $\frac{2}{5}$ .

$z = \frac{4 \cdot 2}{5}$

Multiply $4$ by $2$ .

$z = \frac{8}{5}$

$z = \frac{8}{5}$

$z = \frac{8}{5}$

$z = \frac{8}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$z = \frac{8}{5}$

Decimal Form:

$z = 1.6$

Mixed Number Form:

$z = 1 \frac{3}{5}$

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