Evaluate -(4/45)/(-9/45)

$- \frac{\frac{4}{45}}{- \frac{9}{45}}$

Cancel the common factor of $9$ and $45$ .

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Factor $9$ out of $9$ .

$- \frac{\frac{4}{45}}{- \frac{9 (1)}{45}}$

Cancel the common factors.

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Factor $9$ out of $45$ .

$- \frac{\frac{4}{45}}{- \frac{9 \cdot 1}{9 \cdot 5}}$

Cancel the common factor.

$- \frac{\frac{4}{45}}{- \frac{9 \cdot 1}{9 \cdot 5}}$

Rewrite the expression.

$- \frac{\frac{4}{45}}{- \frac{1}{5}}$

Multiply the numerator by the reciprocal of the denominator.

$- (\frac{4}{45} (- 1 \cdot 5))$

Cancel the common factor of $5$ .

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Factor $5$ out of $45$ .

$- (\frac{4}{5 (9)} (- 1 \cdot 5))$

Factor $5$ out of $- 1 \cdot 5$ .

$- (\frac{4}{5 (9)} (5 \cdot - 1))$

Cancel the common factor.

$- (\frac{4}{5 \cdot 9} (5 \cdot - 1))$

Rewrite the expression.

$- (\frac{4}{9} \cdot - 1)$

Combine $\frac{4}{9}$ and $- 1$ .

$- \frac{4 \cdot - 1}{9}$

Simplify the expression.

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Multiply $4$ by $- 1$ .

$- \frac{- 4}{9}$

Move the negative in front of the fraction.

$- - \frac{4}{9}$

Multiply $- - \frac{4}{9}$ .

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Multiply $- 1$ by $- 1$ .

$1 (\frac{4}{9})$

Multiply $\frac{4}{9}$ by $1$ .

$\frac{4}{9}$

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{9}$

Decimal Form:

$0.\overline{4}$

Evaluate -(4/45)/(-9/45)

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