Basic Math Examples

$3 z = \frac{1}{2}$

Step 1

Divide each term in $3 z = \frac{1}{2}$ by $3$ .

$\frac{3 z}{3} = \frac{\frac{1}{2}}{3}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $3$ .

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Step 2.1.1

Cancel the common factor.

$\frac{3 z}{3} = \frac{\frac{1}{2}}{3}$

Step 2.1.2

Divide $z$ by $1$ .

$z = \frac{\frac{1}{2}}{3}$

$z = \frac{\frac{1}{2}}{3}$

$z = \frac{\frac{1}{2}}{3}$

Step 3

Simplify the right side.

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Step 3.1

Multiply the numerator by the reciprocal of the denominator.

$z = \frac{1}{2} \cdot \frac{1}{3}$

Step 3.2

Multiply $\frac{1}{2} \cdot \frac{1}{3}$ .

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Step 3.2.1

Multiply $\frac{1}{2}$ by $\frac{1}{3}$ .

$z = \frac{1}{2 \cdot 3}$

Step 3.2.2

Multiply $2$ by $3$ .

$z = \frac{1}{6}$

$z = \frac{1}{6}$

$z = \frac{1}{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$z = \frac{1}{6}$

Decimal Form:

$z = 0.1\overline{6}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$