Solve for m a=F/m

$a = \frac{F}{m}$

Step 1

Rewrite the equation as $\frac{F}{m} = a$ .

$\frac{F}{m} = a$

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.

$m, 1$

The LCM of one and any expression is the expression.

$m$

Step 3

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

Multiply each term in $\frac{F}{m} = a$ by $m$ .

$\frac{F}{m} m = a m$

Simplify the left side.

Cancel the common factor of $m$ .

Cancel the common factor.

$\frac{F}{m} m = a m$

Rewrite the expression.

$F = a m$

Step 4

Solve the equation.

Rewrite the equation as $a m = F$ .

$a m = F$

Divide each term in $a m = F$ by $a$ and simplify.

Divide each term in $a m = F$ by $a$ .

$\frac{a m}{a} = \frac{F}{a}$

Simplify the left side.

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{a m}{a} = \frac{F}{a}$

Divide $m$ by $1$ .

$m = \frac{F}{a}$