Basic Math Examples

$\frac{\frac{2 r^{4} t^{2}}{5 r^{2} t^{5}}}{3 r}$

Step 1

Cancel the common factor of $r^{4}$ and $r^{2}$ .

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Step 1.1

Factor $r^{2}$ out of $2 r^{4} t^{2}$ .

$\frac{\frac{r^{2} (2 r^{2} t^{2})}{5 r^{2} t^{5}}}{3 r}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $r^{2}$ out of $5 r^{2} t^{5}$ .

$\frac{\frac{r^{2} (2 r^{2} t^{2})}{r^{2} (5 t^{5})}}{3 r}$

Step 1.2.2

Cancel the common factor.

$\frac{\frac{r^{2} (2 r^{2} t^{2})}{r^{2} (5 t^{5})}}{3 r}$

Step 1.2.3

Rewrite the expression.

$\frac{\frac{2 r^{2} t^{2}}{5 t^{5}}}{3 r}$

Step 2

Cancel the common factor of $t^{2}$ and $t^{5}$ .

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Step 2.1

Factor $t^{2}$ out of $2 r^{2} t^{2}$ .

$\frac{\frac{t^{2} (2 r^{2})}{5 t^{5}}}{3 r}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $t^{2}$ out of $5 t^{5}$ .

$\frac{\frac{t^{2} (2 r^{2})}{t^{2} (5 t^{3})}}{3 r}$

Step 2.2.2

Cancel the common factor.

$\frac{\frac{t^{2} (2 r^{2})}{t^{2} (5 t^{3})}}{3 r}$

Step 2.2.3

Rewrite the expression.

$\frac{\frac{2 r^{2}}{5 t^{3}}}{3 r}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{2 r^{2}}{5 t^{3}} \cdot \frac{1}{3 r}$

Step 4

Combine.

$\frac{2 r^{2} \cdot 1}{5 t^{3} (3 r)}$

Step 5

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

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Step 5.1

Factor $r$ out of $2 r^{2} \cdot 1$ .

$\frac{r (2 r \cdot 1)}{5 t^{3} (3 r)}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $r$ out of $5 t^{3} (3 r)$ .

$\frac{r (2 r \cdot 1)}{r (5 t^{3} \cdot (3))}$

Step 5.2.2

Cancel the common factor.

$\frac{r (2 r \cdot 1)}{r (5 t^{3} \cdot (3))}$

Step 5.2.3

Rewrite the expression.

$\frac{2 r \cdot 1}{5 t^{3} \cdot (3)}$

Step 6

Multiply.

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Step 6.1

Multiply $2$ by $1$ .

$\frac{2 r}{5 t^{3} \cdot 3}$

Step 6.2

Multiply $3$ by $5$ .

$\frac{2 r}{15 t^{3}}$