Basic Math Examples

$f = \frac{g (m M)}{r^{2}}$

Step 1

Rewrite the equation as $\frac{g m M}{r^{2}} = f$ .

$\frac{g m M}{r^{2}} = f$

Step 2

Multiply both sides by $r^{2}$ .

$\frac{g m M}{r^{2}} r^{2} = f r^{2}$

Step 3

Simplify the left side.

Tap for more steps...

Step 3.1

Cancel the common factor of $r^{2}$ .

Tap for more steps...

Step 3.1.1

Cancel the common factor.

$\frac{g m M}{r^{2}} r^{2} = f r^{2}$

Step 3.1.2

Rewrite the expression.

$g m M = f r^{2}$

Step 4

Divide each term in $g m M = f r^{2}$ by $m M$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $g m M = f r^{2}$ by $m M$ .

$\frac{g m M}{m M} = \frac{f r^{2}}{m M}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $m$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{g m M}{m M} = \frac{f r^{2}}{m M}$

Step 4.2.1.2

Rewrite the expression.

$\frac{g M}{M} = \frac{f r^{2}}{m M}$

Step 4.2.2

Cancel the common factor of $M$ .

Tap for more steps...

Step 4.2.2.1

Cancel the common factor.

$\frac{g M}{M} = \frac{f r^{2}}{m M}$

Step 4.2.2.2

Divide $g$ by $1$ .

$g = \frac{f r^{2}}{m M}$