Basic Math Examples

\frac{(1 - 5) \cdot 0.25}{(\frac{2}{5}) \cdot (\frac{5}{1})}

$\frac{(1 - 5) \cdot 0.25}{(\frac{2}{5}) \cdot (\frac{5}{1})}$

Step 1

Divide

5

$5$ by

1

$1$ .

\frac{(1 - 5) \cdot 0.25}{\frac{2}{5} \cdot 5}

$\frac{(1 - 5) \cdot 0.25}{\frac{2}{5} \cdot 5}$

Step 2

Multiply

1 - 5

$1 - 5$ by

0.25

$0.25$ .

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

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

Step 3

Combine

\frac{2}{5}

$\frac{2}{5}$ and

5

$5$ .

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

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

Step 4

Simplify the expression.

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Step 4.1

Multiply

2

$2$ by

5

$5$ .

\frac{- 1}{\frac{10}{5}}

$\frac{- 1}{\frac{10}{5}}$

Step 4.2

Divide

10

$10$ by

5

$5$ .

\frac{- 1}{2}

$\frac{- 1}{2}$

\frac{- 1}{2}

$\frac{- 1}{2}$

Step 5

Cancel the common factor of

- 1

$- 1$ and

2

$2$ .

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Step 5.1

Rewrite

- 1

$- 1$ as

1 (- 1)

$1 (- 1)$ .

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

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

Step 5.2

Cancel the common factors.

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Step 5.2.1

Rewrite

2

$2$ as

1 (2)

$1 (2)$ .

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

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

Step 5.2.2

Cancel the common factor.

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

Step 5.2.3

Rewrite the expression.

$\frac{- 1}{2}$

$\frac{- 1}{2}$

$\frac{- 1}{2}$

Step 6

Move the negative in front of the fraction.

$- \frac{1}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{2}$

Decimal Form:

$- 0.5$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$