Basic Math Examples

$\frac{z - 3}{6} = \frac{8}{12}$

Step 1

Multiply both sides of the equation by $6$ .

$6 \frac{z - 3}{6} = 6 (\frac{8}{12})$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $6$ .

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Step 2.1.1.1

Cancel the common factor.

$6 \frac{z - 3}{6} = 6 (\frac{8}{12})$

Step 2.1.1.2

Rewrite the expression.

$z - 3 = 6 (\frac{8}{12})$

$z - 3 = 6 (\frac{8}{12})$

$z - 3 = 6 (\frac{8}{12})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $6 (\frac{8}{12})$ .

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Step 2.2.1.1

Cancel the common factor of $6$ .

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Step 2.2.1.1.1

Factor $6$ out of $12$ .

$z - 3 = 6 \frac{8}{6 (2)}$

Step 2.2.1.1.2

Cancel the common factor.

$z - 3 = 6 \frac{8}{6 \cdot 2}$

Step 2.2.1.1.3

Rewrite the expression.

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

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

Step 2.2.1.2

Divide $8$ by $2$ .

$z - 3 = 4$

$z - 3 = 4$

$z - 3 = 4$

$z - 3 = 4$

Step 3

Move all terms not containing $z$ to the right side of the equation.

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Step 3.1

Add $3$ to both sides of the equation.

$z = 4 + 3$

Step 3.2

Add $4$ and $3$ .

$z = 7$

$z = 7$

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