Solve for x a/x=b

$\frac{a}{x} = b$

Step 1

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$x, 1$

The LCM of one and any expression is the expression.

$x$

Step 2

Multiply each term in $\frac{a}{x} = b$ by $x$ to eliminate the fractions.

Multiply each term in $\frac{a}{x} = b$ by $x$ .

$\frac{a}{x} x = b x$

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{a}{x} x = b x$

Rewrite the expression.

$a = b x$

Step 3

Solve the equation.

Rewrite the equation as $b x = a$ .

$b x = a$

Divide each term in $b x = a$ by $b$ and simplify.

Divide each term in $b x = a$ by $b$ .

$\frac{b x}{b} = \frac{a}{b}$

Simplify the left side.

Cancel the common factor of $b$ .

Cancel the common factor.

$\frac{b x}{b} = \frac{a}{b}$

Divide $x$ by $1$ .

$x = \frac{a}{b}$