Solve for r i/r=p

$\frac{i}{r} = p$

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.

$r, 1$

The LCM of one and any expression is the expression.

$r$

Step 2

Multiply each term in $\frac{i}{r} = p$ by $r$ to eliminate the fractions.

Multiply each term in $\frac{i}{r} = p$ by $r$ .

$\frac{i}{r} r = p r$

Simplify the left side.

Cancel the common factor of $r$ .

Cancel the common factor.

$\frac{i}{r} r = p r$

Rewrite the expression.

$i = p r$

Step 3

Solve the equation.

Rewrite the equation as $p r = i$ .

$p r = i$

Divide each term in $p r = i$ by $p$ and simplify.

Divide each term in $p r = i$ by $p$ .

$\frac{p r}{p} = \frac{i}{p}$

Simplify the left side.

Cancel the common factor of $p$ .

Cancel the common factor.

$\frac{p r}{p} = \frac{i}{p}$

Divide $r$ by $1$ .

$r = \frac{i}{p}$