Basic Math Examples

\frac{1}{2} \cdot (- 1) + 2

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

Step 1

Simplify each term.

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Step 1.1

Combine

\frac{1}{2}

$\frac{1}{2}$ and

- 1

$- 1$ .

\frac{- 1}{2} + 2

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

Step 1.2

Move the negative in front of the fraction.

- \frac{1}{2} + 2

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

- \frac{1}{2} + 2

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

Step 2

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

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

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

Step 3

Combine

2

$2$ and

\frac{2}{2}

$\frac{2}{2}$ .

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

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

Step 4

Combine the numerators over the common denominator.

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

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply

2

$2$ by

2

$2$ .

\frac{- 1 + 4}{2}

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

Step 5.2

Add

- 1

$- 1$ and

4

$4$ .

\frac{3}{2}

$\frac{3}{2}$

\frac{3}{2}

$\frac{3}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{3}{2}

$\frac{3}{2}$

Decimal Form:

1.5

$1.5$

Mixed Number Form:

1 \frac{1}{2}

$1 \frac{1}{2}$