Basic Math Examples

$\frac{7.5}{6} = \frac{z}{4}$

Step 1

Rewrite the equation as

$\frac{z}{4} = \frac{7.5}{6}$ .

$\frac{z}{4} = \frac{7.5}{6}$

Step 2

Multiply both sides of the equation by

$4$ .

$4 \frac{z}{4} = 4 (\frac{7.5}{6})$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of

$4$ .

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Step 3.1.1.1

Cancel the common factor.

$4 \frac{z}{4} = 4 (\frac{7.5}{6})$

Step 3.1.1.2

Rewrite the expression.

$z = 4 (\frac{7.5}{6})$

$z = 4 (\frac{7.5}{6})$

$z = 4 (\frac{7.5}{6})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify

$4 (\frac{7.5}{6})$ .

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Step 3.2.1.1

Cancel the common factor of

$2$ .

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Step 3.2.1.1.1

Factor

$2$ out of

$4$ .

$z = 2 (2) \frac{7.5}{6}$

Step 3.2.1.1.2

Factor

$2$ out of

$6$ .

$z = 2 \cdot 2 \frac{7.5}{2 \cdot 3}$

Step 3.2.1.1.3

Cancel the common factor.

$z = 2 \cdot 2 \frac{7.5}{2 \cdot 3}$

Step 3.2.1.1.4

Rewrite the expression.

$z = 2 (\frac{7.5}{3})$

$z = 2 (\frac{7.5}{3})$

Step 3.2.1.2

Combine

$2$ and

$\frac{7.5}{3}$ .

$z = \frac{2 \cdot 7.5}{3}$

Step 3.2.1.3

Simplify the expression.

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Step 3.2.1.3.1

Multiply

$2$ by

$7.5$ .

$z = \frac{15}{3}$

Step 3.2.1.3.2

Divide

$15$ by

$3$ .

$z = 5$

$z = 5$

$z = 5$

$z = 5$

$z = 5$

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