Basic Math Examples

$\frac{5}{8} z = \frac{2}{5}$

Step 1

Multiply both sides of the equation by $\frac{8}{5}$ .

$\frac{8}{5} (\frac{5}{8} z) = \frac{8}{5} \cdot \frac{2}{5}$

Step 2

Simplify both sides of the equation.

Tap for more steps...

Step 2.1

Simplify the left side.

Tap for more steps...

Step 2.1.1

Simplify $\frac{8}{5} (\frac{5}{8} z)$ .

Tap for more steps...

Step 2.1.1.1

Combine $\frac{5}{8}$ and $z$ .

$\frac{8}{5} \cdot \frac{5 z}{8} = \frac{8}{5} \cdot \frac{2}{5}$

Step 2.1.1.2

Cancel the common factor of $8$ .

Tap for more steps...

Step 2.1.1.2.1

Cancel the common factor.

$\frac{8}{5} \cdot \frac{5 z}{8} = \frac{8}{5} \cdot \frac{2}{5}$

Step 2.1.1.2.2

Rewrite the expression.

$\frac{1}{5} (5 z) = \frac{8}{5} \cdot \frac{2}{5}$

Step 2.1.1.3

Cancel the common factor of $5$ .

Tap for more steps...

Step 2.1.1.3.1

Factor $5$ out of $5 z$ .

$\frac{1}{5} (5 (z)) = \frac{8}{5} \cdot \frac{2}{5}$

Step 2.1.1.3.2

Cancel the common factor.

$\frac{1}{5} (5 z) = \frac{8}{5} \cdot \frac{2}{5}$

Step 2.1.1.3.3

Rewrite the expression.

$z = \frac{8}{5} \cdot \frac{2}{5}$

Step 2.2

Simplify the right side.

Tap for more steps...

Step 2.2.1

Multiply $\frac{8}{5} \cdot \frac{2}{5}$ .

Tap for more steps...

Step 2.2.1.1

Multiply $\frac{8}{5}$ by $\frac{2}{5}$ .

$z = \frac{8 \cdot 2}{5 \cdot 5}$

Step 2.2.1.2

Multiply $8$ by $2$ .

$z = \frac{16}{5 \cdot 5}$

Step 2.2.1.3

Multiply $5$ by $5$ .

$z = \frac{16}{25}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$z = \frac{16}{25}$

Decimal Form:

$z = 0.64$

Step 4

The result can be shown in multiple forms.

Exact Form:

$z = \frac{16}{25}$

Decimal Form:

$z = 0.64$