Basic Math Examples

- \frac{12}{5} - 3

$- \frac{12}{5} - 3$

Step 1

To write

- 3

$- 3$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

- \frac{12}{5} - 3 \cdot \frac{5}{5}

$- \frac{12}{5} - 3 \cdot \frac{5}{5}$

Step 2

Combine

- 3

$- 3$ and

\frac{5}{5}

$\frac{5}{5}$ .

- \frac{12}{5} + \frac{- 3 \cdot 5}{5}

$- \frac{12}{5} + \frac{- 3 \cdot 5}{5}$

Step 3

Combine the numerators over the common denominator.

\frac{- 12 - 3 \cdot 5}{5}

$\frac{- 12 - 3 \cdot 5}{5}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

- 3

$- 3$ by

5

$5$ .

\frac{- 12 - 15}{5}

$\frac{- 12 - 15}{5}$

Step 4.2

Subtract

15

$15$ from

- 12

$- 12$ .

\frac{- 27}{5}

$\frac{- 27}{5}$

\frac{- 27}{5}

$\frac{- 27}{5}$

Step 5

Move the negative in front of the fraction.

- \frac{27}{5}

$- \frac{27}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

- \frac{27}{5}

$- \frac{27}{5}$

Decimal Form:

- 5.4

$- 5.4$

Mixed Number Form:

- 5 \frac{2}{5}

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