Pre-Algebra Examples

$- \frac{1}{2} \div \frac{1}{4} \div (- 4)$

Step 1

Rewrite the division as a fraction.

$\frac{- \frac{1}{2} \div \frac{1}{4}}{- 4}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$- \frac{1}{2} \div \frac{1}{4} \cdot \frac{1}{- 4}$

Step 3

To divide by a fraction, multiply by its reciprocal.

$- \frac{1}{2} \cdot 4 \frac{1}{- 4}$

Step 4

Cancel the common factor of $4$ .

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Step 4.1

Factor $4$ out of $- \frac{1}{2} \cdot 4$ .

$4 \cdot (- \frac{1}{2}) \frac{1}{- 4}$

Step 4.2

Factor $4$ out of $- 4$ .

$4 \cdot (- \frac{1}{2}) \frac{1}{4 (- 1)}$

Step 4.3

Cancel the common factor.

$4 \cdot (- \frac{1}{2}) \frac{1}{4 \cdot - 1}$

Step 4.4

Rewrite the expression.

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

Step 5

Multiply $\frac{1}{- 1}$ by $\frac{1}{2}$ .

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

Step 6

Simplify the expression.

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Step 6.1

Multiply $- 1$ by $2$ .

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

Step 6.2

Move the negative in front of the fraction.

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

Step 7

Multiply $- - \frac{1}{2}$ .

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Step 7.1

Multiply $- 1$ by $- 1$ .

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

Step 7.2

Multiply $\frac{1}{2}$ by $1$ .

$\frac{1}{2}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$