Pre-Algebra Examples

- 5 + \frac{5}{3}

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

Step 1

To write

- 5

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

\frac{3}{3}

$\frac{3}{3}$ .

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

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

Step 2

Combine

- 5

$- 5$ and

\frac{3}{3}

$\frac{3}{3}$ .

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

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

Step 3

Combine the numerators over the common denominator.

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

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

Step 4

Simplify the numerator.

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Step 4.1

Multiply

- 5

$- 5$ by

3

$3$ .

\frac{- 15 + 5}{3}

$\frac{- 15 + 5}{3}$

Step 4.2

Add

- 15

$- 15$ and

5

$5$ .

\frac{- 10}{3}

$\frac{- 10}{3}$

\frac{- 10}{3}

$\frac{- 10}{3}$

Step 5

Move the negative in front of the fraction.

- \frac{10}{3}

$- \frac{10}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

- \frac{10}{3}

$- \frac{10}{3}$

Decimal Form:

- 3.\overline{3}

$- 3.\overline{3}$

Mixed Number Form:

- 3 \frac{1}{3}

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