Basic Math Examples

$\frac{- 36}{(\frac{4}{9}) \cdot (- \frac{1}{6})}$

Step 1

Simplify the denominator.

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Step 1.1

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

$\frac{- 36}{\frac{4 \cdot - 1}{9} \cdot \frac{1}{6}}$

Step 1.2

Multiply $\frac{4 \cdot - 1}{9}$ by $\frac{1}{6}$ .

$\frac{- 36}{\frac{4 \cdot - 1}{9 \cdot 6}}$

Step 2

Multiply.

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Step 2.1

Multiply $4$ by $- 1$ .

$\frac{- 36}{\frac{- 4}{9 \cdot 6}}$

Step 2.2

Multiply $9$ by $6$ .

$\frac{- 36}{\frac{- 4}{54}}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Cancel the common factor of $- 4$ and $54$ .

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Step 3.1.1

Factor $2$ out of $- 4$ .

$\frac{- 36}{\frac{2 (- 2)}{54}}$

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $2$ out of $54$ .

$\frac{- 36}{\frac{2 \cdot - 2}{2 \cdot 27}}$

Step 3.1.2.2

Cancel the common factor.

$\frac{- 36}{\frac{2 \cdot - 2}{2 \cdot 27}}$

Step 3.1.2.3

Rewrite the expression.

$\frac{- 36}{\frac{- 2}{27}}$

Step 3.2

Move the negative in front of the fraction.

$\frac{- 36}{- \frac{2}{27}}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$- 36 (- \frac{27}{2})$

Step 5

Cancel the common factor of $2$ .

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Step 5.1

Move the leading negative in $- \frac{27}{2}$ into the numerator.

$- 36 (\frac{- 27}{2})$

Step 5.2

Factor $2$ out of $- 36$ .

$2 (- 18) \frac{- 27}{2}$

Step 5.3

Cancel the common factor.

$2 \cdot - 18 \frac{- 27}{2}$

Step 5.4

Rewrite the expression.

$- 18 \cdot - 27$

Step 6

Multiply $- 18$ by $- 27$ .

$486$