Basic Math Examples

$- 7 \cdot \frac{- 2}{5} \cdot \frac{7}{- 6}$

Step 1

Move the negative in front of the fraction.

$- 7 \cdot (- \frac{2}{5}) \cdot \frac{7}{- 6}$

Step 2

Multiply $- 7 (- \frac{2}{5})$ .

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Step 2.1

Multiply $- 1$ by $- 7$ .

$7 (\frac{2}{5}) \cdot \frac{7}{- 6}$

Step 2.2

Combine $7$ and $\frac{2}{5}$ .

$\frac{7 \cdot 2}{5} \cdot \frac{7}{- 6}$

Step 2.3

Multiply $7$ by $2$ .

$\frac{14}{5} \cdot \frac{7}{- 6}$

$\frac{14}{5} \cdot \frac{7}{- 6}$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $14$ .

$\frac{2 (7)}{5} \cdot \frac{7}{- 6}$

Step 3.2

Factor $2$ out of $- 6$ .

$\frac{2 \cdot 7}{5} \cdot \frac{7}{2 \cdot - 3}$

Step 3.3

Cancel the common factor.

$\frac{2 \cdot 7}{5} \cdot \frac{7}{2 \cdot - 3}$

Step 3.4

Rewrite the expression.

$\frac{7}{5} \cdot \frac{7}{- 3}$

$\frac{7}{5} \cdot \frac{7}{- 3}$

Step 4

Multiply $\frac{7}{5}$ by $\frac{7}{- 3}$ .

$\frac{7 \cdot 7}{5 \cdot - 3}$

Step 5

Simplify the expression.

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Step 5.1

Multiply $7$ by $7$ .

$\frac{49}{5 \cdot - 3}$

Step 5.2

Multiply $5$ by $- 3$ .

$\frac{49}{- 15}$

Step 5.3

Move the negative in front of the fraction.

$- \frac{49}{15}$

$- \frac{49}{15}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{49}{15}$

Decimal Form:

$- 3.2\overline{6}$

Mixed Number Form:

$- 3 \frac{4}{15}$

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