Solve for a p=f/a

$p = \frac{f}{a}$

Step 1

Rewrite the equation as $\frac{f}{a} = p$ .

$\frac{f}{a} = p$

Step 2

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.

$a, 1$

The LCM of one and any expression is the expression.

$a$

Step 3

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

Multiply each term in $\frac{f}{a} = p$ by $a$ .

$\frac{f}{a} a = p a$

Simplify the left side.

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{f}{a} a = p a$

Rewrite the expression.

$f = p a$

Step 4

Solve the equation.

Rewrite the equation as $p a = f$ .

$p a = f$

Divide each term in $p a = f$ by $p$ and simplify.

Divide each term in $p a = f$ by $p$ .

$\frac{p a}{p} = \frac{f}{p}$

Simplify the left side.

Cancel the common factor of $p$ .

Cancel the common factor.

$\frac{p a}{p} = \frac{f}{p}$

Divide $a$ by $1$ .

$a = \frac{f}{p}$