Basic Math Examples

$- \frac{32}{2} \div \frac{6}{5}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{32}{2} \cdot \frac{5}{6}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Move the leading negative in $- \frac{32}{2}$ into the numerator.

$\frac{- 32}{2} \cdot \frac{5}{6}$

Step 2.2

Factor $2$ out of $- 32$ .

$\frac{2 (- 16)}{2} \cdot \frac{5}{6}$

Step 2.3

Factor $2$ out of $6$ .

$\frac{2 \cdot - 16}{2} \cdot \frac{5}{2 \cdot 3}$

Step 2.4

Cancel the common factor.

$\frac{2 \cdot - 16}{2} \cdot \frac{5}{2 \cdot 3}$

Step 2.5

Rewrite the expression.

$\frac{- 16}{2} \cdot \frac{5}{3}$

Step 3

Multiply $\frac{- 16}{2}$ by $\frac{5}{3}$ .

$\frac{- 16 \cdot 5}{2 \cdot 3}$

Step 4

Multiply.

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Step 4.1

Multiply $- 16$ by $5$ .

$\frac{- 80}{2 \cdot 3}$

Step 4.2

Multiply $2$ by $3$ .

$\frac{- 80}{6}$

Step 5

Cancel the common factor of $- 80$ and $6$ .

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Step 5.1

Factor $2$ out of $- 80$ .

$\frac{2 (- 40)}{6}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $2$ out of $6$ .

$\frac{2 \cdot - 40}{2 \cdot 3}$

Step 5.2.2

Cancel the common factor.

$\frac{2 \cdot - 40}{2 \cdot 3}$

Step 5.2.3

Rewrite the expression.

$\frac{- 40}{3}$

Step 6

Move the negative in front of the fraction.

$- \frac{40}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{40}{3}$

Decimal Form:

$- 13.\overline{3}$

Mixed Number Form:

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