Algebra Examples

$\frac{u}{12} = \frac{6}{9}$

Step 1

Multiply both sides of the equation by $12$ .

$12 \frac{u}{12} = 12 (\frac{6}{9})$

Step 2

Simplify both sides of the equation.

Tap for more steps...

Step 2.1

Simplify the left side.

Tap for more steps...

Step 2.1.1

Cancel the common factor of $12$ .

Tap for more steps...

Step 2.1.1.1

Cancel the common factor.

$12 \frac{u}{12} = 12 (\frac{6}{9})$

Step 2.1.1.2

Rewrite the expression.

$u = 12 (\frac{6}{9})$

$u = 12 (\frac{6}{9})$

$u = 12 (\frac{6}{9})$

Step 2.2

Simplify the right side.

Tap for more steps...

Step 2.2.1

Simplify $12 (\frac{6}{9})$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 2.2.1.1.1

Factor $3$ out of $12$ .

$u = 3 (4) \frac{6}{9}$

Step 2.2.1.1.2

Factor $3$ out of $9$ .

$u = 3 \cdot 4 \frac{6}{3 \cdot 3}$

Step 2.2.1.1.3

Cancel the common factor.

$u = 3 \cdot 4 \frac{6}{3 \cdot 3}$

Step 2.2.1.1.4

Rewrite the expression.

$u = 4 (\frac{6}{3})$

$u = 4 (\frac{6}{3})$

Step 2.2.1.2

Combine $4$ and $\frac{6}{3}$ .

$u = \frac{4 \cdot 6}{3}$

Step 2.2.1.3

Simplify the expression.

Tap for more steps...

Step 2.2.1.3.1

Multiply $4$ by $6$ .

$u = \frac{24}{3}$

Step 2.2.1.3.2

Divide $24$ by $3$ .

$u = 8$

$u = 8$

$u = 8$

$u = 8$

$u = 8$

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