Basic Math Examples

$\frac{- 2}{7} \cdot \frac{5}{9} \cdot (- 3)$

Step 1

Move the negative in front of the fraction.

$- \frac{2}{7} \cdot \frac{5}{9} \cdot - 3$

Step 2

Multiply $- \frac{2}{7} \cdot \frac{5}{9}$ .

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Step 2.1

Multiply $\frac{5}{9}$ by $\frac{2}{7}$ .

$- \frac{5 \cdot 2}{9 \cdot 7} \cdot - 3$

Step 2.2

Multiply $5$ by $2$ .

$- \frac{10}{9 \cdot 7} \cdot - 3$

Step 2.3

Multiply $9$ by $7$ .

$- \frac{10}{63} \cdot - 3$

$- \frac{10}{63} \cdot - 3$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Move the leading negative in $- \frac{10}{63}$ into the numerator.

$\frac{- 10}{63} \cdot - 3$

Step 3.2

Factor $3$ out of $63$ .

$\frac{- 10}{3 (21)} \cdot - 3$

Step 3.3

Factor $3$ out of $- 3$ .

$\frac{- 10}{3 \cdot 21} \cdot (3 \cdot - 1)$

Step 3.4

Cancel the common factor.

$\frac{- 10}{3 \cdot 21} \cdot (3 \cdot - 1)$

Step 3.5

Rewrite the expression.

$\frac{- 10}{21} \cdot - 1$

$\frac{- 10}{21} \cdot - 1$

Step 4

Combine $\frac{- 10}{21}$ and $- 1$ .

$\frac{- 10 \cdot - 1}{21}$

Step 5

Multiply $- 10$ by $- 1$ .

$\frac{10}{21}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{10}{21}$

Decimal Form:

$0.\overline{476190}$

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