Solve for u 6/9=u/12

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

Step 1

Rewrite the equation as $\frac{u}{12} = \frac{6}{9}$ .

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

Step 2

Multiply both sides of the equation by $12$ .

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

Step 3

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Simplify the right side.

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

Cancel the common factor of $3$ .

Factor $3$ out of $12$ .

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

Factor $3$ out of $9$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

Simplify the expression.

Multiply $4$ by $6$ .

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

Divide $24$ by $3$ .

$u = 8$

$u = 8$

$u = 8$

$u = 8$

$u = 8$

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