Basic Math Examples

$8 r s \div \frac{24 r}{s}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$8 r s \frac{s}{24 r}$

Step 2

Cancel the common factor of $8 r$ .

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Step 2.1

Factor $8 r$ out of $8 r s$ .

$8 r (s) \frac{s}{24 r}$

Step 2.2

Factor $8 r$ out of $24 r$ .

$8 r (s) \frac{s}{8 r (3)}$

Step 2.3

Cancel the common factor.

$8 r s \frac{s}{8 r \cdot 3}$

Step 2.4

Rewrite the expression.

$s \frac{s}{3}$

Step 3

Combine $s$ and $\frac{s}{3}$ .

$\frac{s \cdot s}{3}$

Step 4

Raise $s$ to the power of $1$ .

$\frac{s^{1} s}{3}$

Step 5

Raise $s$ to the power of $1$ .

$\frac{s^{1} s^{1}}{3}$

Step 6

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{s^{1 + 1}}{3}$

Step 7

Add $1$ and $1$ .

$\frac{s^{2}}{3}$