Basic Math Examples

$- \frac{4}{7} \div (- \frac{18}{25})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{4}{7} (- \frac{25}{18})$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Move the leading negative in $- \frac{4}{7}$ into the numerator.

$\frac{- 4}{7} (- \frac{25}{18})$

Step 2.2

Move the leading negative in $- \frac{25}{18}$ into the numerator.

$\frac{- 4}{7} \cdot \frac{- 25}{18}$

Step 2.3

Factor $2$ out of $- 4$ .

$\frac{2 (- 2)}{7} \cdot \frac{- 25}{18}$

Step 2.4

Factor $2$ out of $18$ .

$\frac{2 \cdot - 2}{7} \cdot \frac{- 25}{2 \cdot 9}$

Step 2.5

Cancel the common factor.

$\frac{2 \cdot - 2}{7} \cdot \frac{- 25}{2 \cdot 9}$

Step 2.6

Rewrite the expression.

$\frac{- 2}{7} \cdot \frac{- 25}{9}$

Step 3

Multiply $\frac{- 2}{7}$ by $\frac{- 25}{9}$ .

$\frac{- 2 \cdot - 25}{7 \cdot 9}$

Step 4

Multiply.

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Step 4.1

Multiply $- 2$ by $- 25$ .

$\frac{50}{7 \cdot 9}$

Step 4.2

Multiply $7$ by $9$ .

$\frac{50}{63}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{50}{63}$

Decimal Form:

$0.\overline{793650}$