Basic Math Examples

\frac{m^{3}}{8} \div \frac{6 m^{3}}{10}

$\frac{m^{3}}{8} \div \frac{6 m^{3}}{10}$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{m^{3}}{8} \cdot \frac{10}{6 m^{3}}

$\frac{m^{3}}{8} \cdot \frac{10}{6 m^{3}}$

Step 2

Combine.

\frac{m^{3} \cdot 10}{8 (6 m^{3})}

$\frac{m^{3} \cdot 10}{8 (6 m^{3})}$

Step 3

Cancel the common factor of

m^{3}

$m^{3}$ .

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Step 3.1

Cancel the common factor.

\frac{m^{3} \cdot 10}{8 (6 m^{3})}

$\frac{m^{3} \cdot 10}{8 (6 m^{3})}$

Step 3.2

Rewrite the expression.

\frac{10}{8 \cdot (6)}

$\frac{10}{8 \cdot (6)}$

\frac{10}{8 \cdot (6)}

$\frac{10}{8 \cdot (6)}$

Step 4

Cancel the common factor of

10

$10$ and

8

$8$ .

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Step 4.1

Factor

2

$2$ out of

10

$10$ .

\frac{2 (5)}{8 \cdot (6)}

$\frac{2 (5)}{8 \cdot (6)}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor

2

$2$ out of

8 \cdot (6)

$8 \cdot (6)$ .

\frac{2 (5)}{2 (4 \cdot 6)}

$\frac{2 (5)}{2 (4 \cdot 6)}$

Step 4.2.2

Cancel the common factor.

\frac{2 \cdot 5}{2 (4 \cdot 6)}

$\frac{2 \cdot 5}{2 (4 \cdot 6)}$

Step 4.2.3

Rewrite the expression.

\frac{5}{4 \cdot 6}

$\frac{5}{4 \cdot 6}$

\frac{5}{4 \cdot 6}

$\frac{5}{4 \cdot 6}$

\frac{5}{4 \cdot 6}

$\frac{5}{4 \cdot 6}$

Step 5

Multiply

4

$4$ by

6

$6$ .

\frac{5}{24}

$\frac{5}{24}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{5}{24}

$\frac{5}{24}$

Decimal Form:

0.208 ¯ 3

$0.208\overline{3}$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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