Basic Math Examples

$f = \frac{b}{\frac{1}{r} + c}$

Step 1

Simplify the denominator.

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Step 1.1

To write $c$ as a fraction with a common denominator, multiply by $\frac{r}{r}$ .

$f = \frac{b}{\frac{1}{r} + \frac{c r}{r}}$

Step 1.2

Combine the numerators over the common denominator.

$f = \frac{b}{\frac{1 + c r}{r}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$f = b \frac{r}{1 + c r}$

Step 3

Combine $b$ and $\frac{r}{1 + c r}$ .

$f = \frac{b r}{1 + c r}$