Evaluate (-2/13)÷(-3/13)

$- \frac{2}{13} \div (- \frac{3}{13})$

To divide by a fraction, multiply by its reciprocal.

$- \frac{2}{13} (- \frac{13}{3})$

Cancel the common factor of $13$ .

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Move the leading negative in $- \frac{2}{13}$ into the numerator.

$\frac{- 2}{13} (- \frac{13}{3})$

Move the leading negative in $- \frac{13}{3}$ into the numerator.

$\frac{- 2}{13} \cdot \frac{- 13}{3}$

Factor $13$ out of $- 13$ .

$\frac{- 2}{13} \cdot \frac{13 (- 1)}{3}$

Cancel the common factor.

$\frac{- 2}{13} \cdot \frac{13 \cdot - 1}{3}$

Rewrite the expression.

$- 2 (\frac{- 1}{3})$

Combine $- 2$ and $\frac{- 1}{3}$ .

$\frac{- 2 \cdot - 1}{3}$

Multiply $- 2$ by $- 1$ .

$\frac{2}{3}$

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$

Evaluate (-2/13)÷(-3/13)

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