Algebra Examples

$\frac{u}{9} = \frac{4}{12}$

Step 1

Multiply both sides of the equation by $9$ .

$9 \frac{u}{9} = 9 (\frac{4}{12})$

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 $9$ .

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Step 2.1.1.1

Cancel the common factor.

$9 \frac{u}{9} = 9 (\frac{4}{12})$

Step 2.1.1.2

Rewrite the expression.

$u = 9 (\frac{4}{12})$

$u = 9 (\frac{4}{12})$

$u = 9 (\frac{4}{12})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $9 (\frac{4}{12})$ .

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Step 2.2.1.1

Cancel the common factor of $3$ .

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Step 2.2.1.1.1

Factor $3$ out of $9$ .

$u = 3 (3) \frac{4}{12}$

Step 2.2.1.1.2

Factor $3$ out of $12$ .

$u = 3 \cdot 3 \frac{4}{3 \cdot 4}$

Step 2.2.1.1.3

Cancel the common factor.

$u = 3 \cdot 3 \frac{4}{3 \cdot 4}$

Step 2.2.1.1.4

Rewrite the expression.

$u = 3 (\frac{4}{4})$

$u = 3 (\frac{4}{4})$

Step 2.2.1.2

Combine $3$ and $\frac{4}{4}$ .

$u = \frac{3 \cdot 4}{4}$

Step 2.2.1.3

Simplify the expression.

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Step 2.2.1.3.1

Multiply $3$ by $4$ .

$u = \frac{12}{4}$

Step 2.2.1.3.2

Divide $12$ by $4$ .

$u = 3$

$u = 3$

$u = 3$

$u = 3$

$u = 3$

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