Basic Math Examples

\frac{2}{5} - 5

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

Step 1

To write

- 5

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

\frac{5}{5}

$\frac{5}{5}$ .

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

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

Step 2

Combine

- 5

$- 5$ and

\frac{5}{5}

$\frac{5}{5}$ .

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

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

Step 3

Combine the numerators over the common denominator.

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

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

Step 4

Simplify the numerator.

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Step 4.1

Multiply

- 5

$- 5$ by

5

$5$ .

\frac{2 - 25}{5}

$\frac{2 - 25}{5}$

Step 4.2

Subtract

25

$25$ from

2

$2$ .

\frac{- 23}{5}

$\frac{- 23}{5}$

\frac{- 23}{5}

$\frac{- 23}{5}$

Step 5

Move the negative in front of the fraction.

- \frac{23}{5}

$- \frac{23}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

- \frac{23}{5}

$- \frac{23}{5}$

Decimal Form:

- 4.6

$- 4.6$

Mixed Number Form:

- 4 \frac{3}{5}

$- 4 \frac{3}{5}$