Pre-Algebra Examples

$\frac{5}{6} = \frac{x}{9}$

Step 1

Rewrite the equation as $\frac{x}{9} = \frac{5}{6}$ .

$\frac{x}{9} = \frac{5}{6}$

Step 2

Multiply both sides of the equation by $9$ .

$9 \frac{x}{9} = 9 (\frac{5}{6})$

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 $9$ .

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Step 3.1.1.1

Cancel the common factor.

$9 \frac{x}{9} = 9 (\frac{5}{6})$

Step 3.1.1.2

Rewrite the expression.

$x = 9 (\frac{5}{6})$

$x = 9 (\frac{5}{6})$

$x = 9 (\frac{5}{6})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $9 (\frac{5}{6})$ .

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Step 3.2.1.1

Cancel the common factor of $3$ .

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Step 3.2.1.1.1

Factor $3$ out of $9$ .

$x = 3 (3) \frac{5}{6}$

Step 3.2.1.1.2

Factor $3$ out of $6$ .

$x = 3 \cdot 3 \frac{5}{3 \cdot 2}$

Step 3.2.1.1.3

Cancel the common factor.

$x = 3 \cdot 3 \frac{5}{3 \cdot 2}$

Step 3.2.1.1.4

Rewrite the expression.

$x = 3 (\frac{5}{2})$

$x = 3 (\frac{5}{2})$

Step 3.2.1.2

Combine $3$ and $\frac{5}{2}$ .

$x = \frac{3 \cdot 5}{2}$

Step 3.2.1.3

Multiply $3$ by $5$ .

$x = \frac{15}{2}$

$x = \frac{15}{2}$

$x = \frac{15}{2}$

$x = \frac{15}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{15}{2}$

Decimal Form:

$x = 7.5$

Mixed Number Form:

$x = 7 \frac{1}{2}$

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