Basic Math Examples

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

Step 1

Simplify the numerator.

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Step 1.1

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

Step 1.2

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

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

Step 1.3

Combine the numerators over the common denominator.

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

Step 1.4

Simplify the numerator.

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Step 1.4.1

Multiply $- 1$ by $2$ .

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

Step 1.4.2

Subtract $2$ from $1$ .

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

Step 1.5

Move the negative in front of the fraction.

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

Step 2

Multiply the numerator by the reciprocal of the denominator.

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

Step 3

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

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Step 3.1

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

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

Step 3.2

Multiply $2$ by $2$ .

$- \frac{1}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{4}$

Decimal Form:

$- 0.25$