Basic Math Examples

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

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

Step 1

Simplify each term.

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Step 1.1

Divide

5

$5$ by

1

$1$ .

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

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

Step 1.2

Multiply

- 1

$- 1$ by

5

$5$ .

\frac{1}{3} - 5

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

\frac{1}{3} - 5

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

Step 2

To write

- 5

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

\frac{3}{3}

$\frac{3}{3}$ .

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

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

Step 3

Combine

- 5

$- 5$ and

\frac{3}{3}

$\frac{3}{3}$ .

\frac{1}{3} + \frac{- 5 \cdot 3}{3}

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

Step 4

Combine the numerators over the common denominator.

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

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply

- 5

$- 5$ by

3

$3$ .

\frac{1 - 15}{3}

$\frac{1 - 15}{3}$

Step 5.2

Subtract

15

$15$ from

1

$1$ .

\frac{- 14}{3}

$\frac{- 14}{3}$

\frac{- 14}{3}

$\frac{- 14}{3}$

Step 6

Move the negative in front of the fraction.

- \frac{14}{3}

$- \frac{14}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

- \frac{14}{3}

$- \frac{14}{3}$

Decimal Form:

- 4. ¯ 6

$- 4.\overline{6}$

Mixed Number Form:

- 4 \frac{2}{3}

$- 4 \frac{2}{3}$