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Solve for a a/6=12/8

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

Step 1

Multiply both sides of the equation by $6$ .

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

Step 2

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Simplify the right side.

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

Cancel the common factor of $2$ .

Factor $2$ out of $6$ .

$a = 2 (3) \frac{12}{8}$

Factor $2$ out of $8$ .

$a = 2 \cdot 3 \frac{12}{2 \cdot 4}$

Cancel the common factor.

$a = 2 \cdot 3 \frac{12}{2 \cdot 4}$

Rewrite the expression.

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

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

Combine $3$ and $\frac{12}{4}$ .

$a = \frac{3 \cdot 12}{4}$

Simplify the expression.

Multiply $3$ by $12$ .

$a = \frac{36}{4}$

Divide $36$ by $4$ .

$a = 9$

$a = 9$

$a = 9$

$a = 9$

$a = 9$

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