Basic Math Examples

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

Step 1

Simplify the denominator.

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Step 1.1

Multiply $- 1$ by $3$ .

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

Step 1.2

Combine $- 3$ and $\frac{9}{14}$ .

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

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

Step 2

Simplify the expression.

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Step 2.1

Multiply $- 3$ by $9$ .

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

Step 2.2

Move the negative in front of the fraction.

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

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

Step 3

Multiply the numerator by the reciprocal of the denominator.

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

Step 4

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

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Step 4.1

Multiply $- 1$ by $10$ .

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

Step 4.2

Combine $- 10$ and $\frac{14}{27}$ .

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

Step 4.3

Multiply $- 10$ by $14$ .

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

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

Step 5

Move the negative in front of the fraction.

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

Step 6

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

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Step 6.1

Multiply $- 1$ by $- 1$ .

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

Step 6.2

Multiply $\frac{140}{27}$ by $1$ .

$\frac{140}{27}$

$\frac{140}{27}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{140}{27}$

Decimal Form:

$5.\overline{185}$

Mixed Number Form:

$5 \frac{5}{27}$

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