Evaluate (2/7)÷(-4/9)

$\frac{2}{7} \div (- \frac{4}{9})$

To divide by a fraction, multiply by its reciprocal.

$\frac{2}{7} (- \frac{9}{4})$

Cancel the common factor of $2$ .

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Move the leading negative in $- \frac{9}{4}$ into the numerator.

$\frac{2}{7} \cdot \frac{- 9}{4}$

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{7} \cdot \frac{- 9}{2}$

Multiply $\frac{1}{7}$ and $\frac{- 9}{2}$ .

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

Simplify the expression.

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Multiply $7$ by $2$ .

$\frac{- 9}{14}$

Move the negative in front of the fraction.

$- \frac{9}{14}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{9}{14}$

Decimal Form:

$- 0.6\overline{428571}$

Evaluate (2/7)÷(-4/9)

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