Basic Math Examples

∣ ∣ ∣ \frac{4}{5} ∣ ∣ ∣ - 4

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

Step 1

\frac{4}{5}

$\frac{4}{5}$ is approximately

0.8

$0.8$ which is positive so remove the absolute value

\frac{4}{5} - 4

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

Step 2

To write

- 4

$- 4$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{4}{5} - 4 \cdot \frac{5}{5}

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

Step 3

Combine

- 4

$- 4$ and

\frac{5}{5}

$\frac{5}{5}$ .

\frac{4}{5} + \frac{- 4 \cdot 5}{5}

$\frac{4}{5} + \frac{- 4 \cdot 5}{5}$

Step 4

Combine the numerators over the common denominator.

\frac{4 - 4 \cdot 5}{5}

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply

- 4

$- 4$ by

5

$5$ .

\frac{4 - 20}{5}

$\frac{4 - 20}{5}$

Step 5.2

Subtract

20

$20$ from

4

$4$ .

\frac{- 16}{5}

$\frac{- 16}{5}$

\frac{- 16}{5}

$\frac{- 16}{5}$

Step 6

Move the negative in front of the fraction.

- \frac{16}{5}

$- \frac{16}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

- \frac{16}{5}

$- \frac{16}{5}$

Decimal Form:

- 3.2

$- 3.2$

Mixed Number Form:

- 3 \frac{1}{5}

$- 3 \frac{1}{5}$