Basic Math Examples

$\frac{6}{8 r^{3}} \div \frac{7}{9}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{6}{8 r^{3}} \cdot \frac{9}{7}$

Step 2

Combine.

$\frac{6 \cdot 9}{8 r^{3} \cdot 7}$

Step 3

Cancel the common factor of $6$ and $8$ .

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Step 3.1

Factor $2$ out of $6 \cdot 9$ .

$\frac{2 (3 \cdot 9)}{8 r^{3} \cdot 7}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $8 r^{3} \cdot 7$ .

$\frac{2 (3 \cdot 9)}{2 (4 r^{3} \cdot 7)}$

Step 3.2.2

Cancel the common factor.

$\frac{2 (3 \cdot 9)}{2 (4 r^{3} \cdot 7)}$

Step 3.2.3

Rewrite the expression.

$\frac{3 \cdot 9}{4 r^{3} \cdot 7}$

$\frac{3 \cdot 9}{4 r^{3} \cdot 7}$

$\frac{3 \cdot 9}{4 r^{3} \cdot 7}$

Step 4

Multiply.

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Step 4.1

Multiply $3$ by $9$ .

$\frac{27}{4 r^{3} \cdot 7}$

Step 4.2

Multiply $7$ by $4$ .

$\frac{27}{28 r^{3}}$

$\frac{27}{28 r^{3}}$

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