Pre-Algebra Examples

$(\frac{2 r}{3 s}) (\frac{9 s}{4 r^{2}})$

Step 1

Combine.

$\frac{2 r (9 s)}{3 s (4 r^{2})}$

Step 2

Cancel the common factor of $2$ and $4$ .

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Step 2.1

Factor $2$ out of $2 r (9 s)$ .

$\frac{2 (r (9 s))}{3 s (4 r^{2})}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $3 s (4 r^{2})$ .

$\frac{2 (r (9 s))}{2 (3 s (2 r^{2}))}$

Step 2.2.2

Cancel the common factor.

$\frac{2 (r (9 s))}{2 (3 s (2 r^{2}))}$

Step 2.2.3

Rewrite the expression.

$\frac{r (9 s)}{3 s (2 r^{2})}$

$\frac{r (9 s)}{3 s (2 r^{2})}$

$\frac{r (9 s)}{3 s (2 r^{2})}$

Step 3

Cancel the common factors.

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Step 3.1

Factor $r$ out of $3 s (2 r^{2})$ .

$\frac{r (9 s)}{r (3 s (2 r))}$

Step 3.2

Cancel the common factor.

$\frac{r (9 s)}{r (3 s (2 r))}$

Step 3.3

Rewrite the expression.

$\frac{9 s}{3 s (2 r)}$

$\frac{9 s}{3 s (2 r)}$

Step 4

Cancel the common factor of $9$ and $3$ .

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Step 4.1

Factor $3$ out of $9 s$ .

$\frac{3 (3 s)}{3 s (2 r)}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $3$ out of $3 s (2 r)$ .

$\frac{3 (3 s)}{3 (s (2 r))}$

Step 4.2.2

Cancel the common factor.

$\frac{3 (3 s)}{3 (s (2 r))}$

Step 4.2.3

Rewrite the expression.

$\frac{3 s}{s (2 r)}$

$\frac{3 s}{s (2 r)}$

$\frac{3 s}{s (2 r)}$

Step 5

Cancel the common factor of $s$ .

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Step 5.1

Cancel the common factor.

$\frac{3 s}{s (2 r)}$

Step 5.2

Rewrite the expression.

$\frac{3}{2 r}$

$\frac{3}{2 r}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$