Solve for c 1/a=c/(2b)

$\frac{1}{a} = \frac{c}{2 b}$

Rewrite the equation as $\frac{c}{2 b} = \frac{1}{a}$ .

$\frac{c}{2 b} = \frac{1}{a}$

Multiply both sides by $2 b$ .

$\frac{c}{2 b} (2 b) = \frac{1}{a} (2 b)$

Simplify.

Simplify the left side.

Simplify $\frac{c}{2 b} (2 b)$ .

Rewrite using the commutative property of multiplication.

$2 \frac{c}{2 b} b = \frac{1}{a} (2 b)$

Cancel the common factor of $2$ .

Factor $2$ out of $2 b$ .

$2 \frac{c}{2 (b)} b = \frac{1}{a} (2 b)$

Cancel the common factor.

$2 \frac{c}{2 b} b = \frac{1}{a} (2 b)$

Rewrite the expression.

$\frac{c}{b} b = \frac{1}{a} (2 b)$

Cancel the common factor of $b$ .

Cancel the common factor.

$\frac{c}{b} b = \frac{1}{a} (2 b)$

Rewrite the expression.

$c = \frac{1}{a} (2 b)$

Simplify the right side.

Simplify $\frac{1}{a} (2 b)$ .

Rewrite using the commutative property of multiplication.

$c = 2 \frac{1}{a} b$

Combine $2$ and $\frac{1}{a}$ .

$c = \frac{2}{a} b$

Combine $\frac{2}{a}$ and $b$ .

$c = \frac{2 b}{a}$