Basic Math Examples

- \frac{10}{3 (- \frac{9}{14})}

$- \frac{10}{3 (- \frac{9}{14})}$

Step 1

Simplify the denominator.

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Step 1.1

Multiply

- 1

$- 1$ by

3

$3$ .

- \frac{10}{- 3 (\frac{9}{14})}

$- \frac{10}{- 3 (\frac{9}{14})}$

Step 1.2

Combine

- 3

$- 3$ and

\frac{9}{14}

$\frac{9}{14}$ .

- \frac{10}{\frac{- 3 \cdot 9}{14}}

$- \frac{10}{\frac{- 3 \cdot 9}{14}}$

- \frac{10}{\frac{- 3 \cdot 9}{14}}

$- \frac{10}{\frac{- 3 \cdot 9}{14}}$

Step 2

Simplify the expression.

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Step 2.1

Multiply

- 3

$- 3$ by

9

$9$ .

- \frac{10}{\frac{- 27}{14}}

$- \frac{10}{\frac{- 27}{14}}$

Step 2.2

Move the negative in front of the fraction.

- \frac{10}{- \frac{27}{14}}

$- \frac{10}{- \frac{27}{14}}$

- \frac{10}{- \frac{27}{14}}

$- \frac{10}{- \frac{27}{14}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

- (10 (- \frac{14}{27}))

$- (10 (- \frac{14}{27}))$

Step 4

Multiply

10 (- \frac{14}{27})

$10 (- \frac{14}{27})$ .

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Step 4.1

Multiply

- 1

$- 1$ by

10

$10$ .

- (- 10 (\frac{14}{27}))

$- (- 10 (\frac{14}{27}))$

Step 4.2

Combine

- 10

$- 10$ and

\frac{14}{27}

$\frac{14}{27}$ .

- \frac{- 10 \cdot 14}{27}

$- \frac{- 10 \cdot 14}{27}$

Step 4.3

Multiply

- 10

$- 10$ by

14

$14$ .

- \frac{- 140}{27}

$- \frac{- 140}{27}$

- \frac{- 140}{27}

$- \frac{- 140}{27}$

Step 5

Move the negative in front of the fraction.

- - \frac{140}{27}

$- - \frac{140}{27}$

Step 6

Multiply

- - \frac{140}{27}

$- - \frac{140}{27}$ .

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Step 6.1

Multiply

- 1

$- 1$ by

- 1

$- 1$ .

1 (\frac{140}{27})

$1 (\frac{140}{27})$

Step 6.2

Multiply

\frac{140}{27}

$\frac{140}{27}$ by

1

$1$ .

\frac{140}{27}

$\frac{140}{27}$

\frac{140}{27}

$\frac{140}{27}$

Step 7

The result can be shown in multiple forms.

Exact Form:

\frac{140}{27}

$\frac{140}{27}$

Decimal Form:

5. ¯ ¯¯¯¯ ¯ 185

$5.\overline{185}$

Mixed Number Form:

5 \frac{5}{27}

$5 \frac{5}{27}$

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

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