Basic Math Examples

$- 6 \div \frac{5}{12} \cdot (- \frac{4}{5})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- 6 (\frac{12}{5}) \cdot (- \frac{4}{5})$

Step 2

Multiply $- 6 (\frac{12}{5})$ .

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Step 2.1

Combine $- 6$ and $\frac{12}{5}$ .

$\frac{- 6 \cdot 12}{5} \cdot (- \frac{4}{5})$

Step 2.2

Multiply $- 6$ by $12$ .

$\frac{- 72}{5} \cdot (- \frac{4}{5})$

$\frac{- 72}{5} \cdot (- \frac{4}{5})$

Step 3

Move the negative in front of the fraction.

$- \frac{72}{5} \cdot (- \frac{4}{5})$

Step 4

Multiply $- \frac{72}{5} (- \frac{4}{5})$ .

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Step 4.1

Multiply $- 1$ by $- 1$ .

$1 (\frac{72}{5}) \frac{4}{5}$

Step 4.2

Multiply $\frac{72}{5}$ by $1$ .

$\frac{72}{5} \cdot \frac{4}{5}$

Step 4.3

Multiply $\frac{72}{5}$ by $\frac{4}{5}$ .

$\frac{72 \cdot 4}{5 \cdot 5}$

Step 4.4

Multiply $72$ by $4$ .

$\frac{288}{5 \cdot 5}$

Step 4.5

Multiply $5$ by $5$ .

$\frac{288}{25}$

$\frac{288}{25}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{288}{25}$

Decimal Form:

$11.52$

Mixed Number Form:

$11 \frac{13}{25}$

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