Examples

\frac{2}{4} - 5

$\frac{2}{4} - 5$

Step 1

Cancel the common factor of

2

$2$ and

4

$4$ .

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Step 1.1

Factor

2

$2$ out of

2

$2$ .

\frac{2 (1)}{4} - 5

$\frac{2 (1)}{4} - 5$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

2

$2$ out of

4

$4$ .

\frac{2 \cdot 1}{2 \cdot 2} - 5

$\frac{2 \cdot 1}{2 \cdot 2} - 5$

Step 1.2.2

Cancel the common factor.

\frac{2 \cdot 1}{2 \cdot 2} - 5

$\frac{2 \cdot 1}{2 \cdot 2} - 5$

Step 1.2.3

Rewrite the expression.

\frac{1}{2} - 5

$\frac{1}{2} - 5$

\frac{1}{2} - 5

$\frac{1}{2} - 5$

\frac{1}{2} - 5

$\frac{1}{2} - 5$

Step 2

To write

- 5

$- 5$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{1}{2} - 5 \cdot \frac{2}{2}

$\frac{1}{2} - 5 \cdot \frac{2}{2}$

Step 3

Combine

- 5

$- 5$ and

\frac{2}{2}

$\frac{2}{2}$ .

\frac{1}{2} + \frac{- 5 \cdot 2}{2}

$\frac{1}{2} + \frac{- 5 \cdot 2}{2}$

Step 4

Combine the numerators over the common denominator.

\frac{1 - 5 \cdot 2}{2}

$\frac{1 - 5 \cdot 2}{2}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

- 5

$- 5$ by

2

$2$ .

\frac{1 - 10}{2}

$\frac{1 - 10}{2}$

Step 5.2

Subtract

10

$10$ from

1

$1$ .

\frac{- 9}{2}

$\frac{- 9}{2}$

\frac{- 9}{2}

$\frac{- 9}{2}$

Step 6

Move the negative in front of the fraction.

- \frac{9}{2}

$- \frac{9}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

- \frac{9}{2}

$- \frac{9}{2}$

Decimal Form:

- 4.5

$- 4.5$

Mixed Number Form:

- 4 \frac{1}{2}

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

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