Basic Math Examples

\frac{11}{5} - 20

$\frac{11}{5} - 20$

Step 1

To write

- 20

$- 20$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{11}{5} - 20 \cdot \frac{5}{5}

$\frac{11}{5} - 20 \cdot \frac{5}{5}$

Step 2

Combine

- 20

$- 20$ and

\frac{5}{5}

$\frac{5}{5}$ .

\frac{11}{5} + \frac{- 20 \cdot 5}{5}

$\frac{11}{5} + \frac{- 20 \cdot 5}{5}$

Step 3

Combine the numerators over the common denominator.

\frac{11 - 20 \cdot 5}{5}

$\frac{11 - 20 \cdot 5}{5}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

- 20

$- 20$ by

5

$5$ .

\frac{11 - 100}{5}

$\frac{11 - 100}{5}$

Step 4.2

Subtract

100

$100$ from

11

$11$ .

\frac{- 89}{5}

$\frac{- 89}{5}$

\frac{- 89}{5}

$\frac{- 89}{5}$

Step 5

Move the negative in front of the fraction.

- \frac{89}{5}

$- \frac{89}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

- \frac{89}{5}

$- \frac{89}{5}$

Decimal Form:

- 17.8

$- 17.8$

Mixed Number Form:

- 17 \frac{4}{5}

$- 17 \frac{4}{5}$