Solve for u u/12=6/8

$\frac{u}{12} = \frac{6}{8}$

Multiply both sides of the equation by $12$ .

$12 \frac{u}{12} = 12 (\frac{6}{8})$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$12 \frac{u}{12} = 12 (\frac{6}{8})$

Rewrite the expression.

$u = 12 (\frac{6}{8})$

$u = 12 (\frac{6}{8})$

$u = 12 (\frac{6}{8})$

Simplify the right side.

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

Cancel the common factor of $4$ .

Factor $4$ out of $12$ .

$u = 4 (3) \frac{6}{8}$

Factor $4$ out of $8$ .

$u = 4 \cdot 3 \frac{6}{4 \cdot 2}$

Cancel the common factor.

$u = 4 \cdot 3 \frac{6}{4 \cdot 2}$

Rewrite the expression.

$u = 3 (\frac{6}{2})$

$u = 3 (\frac{6}{2})$

Combine $3$ and $\frac{6}{2}$ .

$u = \frac{3 \cdot 6}{2}$

Simplify the expression.

Multiply $3$ by $6$ .

$u = \frac{18}{2}$

Divide $18$ by $2$ .

$u = 9$

$u = 9$

$u = 9$

$u = 9$

$u = 9$

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