Basic Math Examples

- \frac{18}{7} - 3

$- \frac{18}{7} - 3$

Step 1

To write

- 3

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

\frac{7}{7}

$\frac{7}{7}$ .

- \frac{18}{7} - 3 \cdot \frac{7}{7}

$- \frac{18}{7} - 3 \cdot \frac{7}{7}$

Step 2

Combine

- 3

$- 3$ and

\frac{7}{7}

$\frac{7}{7}$ .

- \frac{18}{7} + \frac{- 3 \cdot 7}{7}

$- \frac{18}{7} + \frac{- 3 \cdot 7}{7}$

Step 3

Combine the numerators over the common denominator.

\frac{- 18 - 3 \cdot 7}{7}

$\frac{- 18 - 3 \cdot 7}{7}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

- 3

$- 3$ by

7

$7$ .

\frac{- 18 - 21}{7}

$\frac{- 18 - 21}{7}$

Step 4.2

Subtract

21

$21$ from

- 18

$- 18$ .

\frac{- 39}{7}

$\frac{- 39}{7}$

\frac{- 39}{7}

$\frac{- 39}{7}$

Step 5

Move the negative in front of the fraction.

- \frac{39}{7}

$- \frac{39}{7}$

Step 6

The result can be shown in multiple forms.

Exact Form:

- \frac{39}{7}

$- \frac{39}{7}$

Decimal Form:

- 5. ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 571428

$- 5.\overline{571428}$

Mixed Number Form:

- 5 \frac{4}{7}

$- 5 \frac{4}{7}$