Basic Math Examples

\frac{2}{3} \cdot (- 13) + 3

$\frac{2}{3} \cdot (- 13) + 3$

Step 1

Simplify each term.

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Step 1.1

Multiply

\frac{2}{3} (- 13)

$\frac{2}{3} (- 13)$ .

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Step 1.1.1

Combine

\frac{2}{3}

$\frac{2}{3}$ and

- 13

$- 13$ .

\frac{2 \cdot - 13}{3} + 3

$\frac{2 \cdot - 13}{3} + 3$

Step 1.1.2

Multiply

2

$2$ by

- 13

$- 13$ .

\frac{- 26}{3} + 3

$\frac{- 26}{3} + 3$

\frac{- 26}{3} + 3

$\frac{- 26}{3} + 3$

Step 1.2

Move the negative in front of the fraction.

- \frac{26}{3} + 3

$- \frac{26}{3} + 3$

- \frac{26}{3} + 3

$- \frac{26}{3} + 3$

Step 2

To write

3

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

\frac{3}{3}

$\frac{3}{3}$ .

- \frac{26}{3} + 3 \cdot \frac{3}{3}

$- \frac{26}{3} + 3 \cdot \frac{3}{3}$

Step 3

Combine

3

$3$ and

\frac{3}{3}

$\frac{3}{3}$ .

- \frac{26}{3} + \frac{3 \cdot 3}{3}

$- \frac{26}{3} + \frac{3 \cdot 3}{3}$

Step 4

Combine the numerators over the common denominator.

\frac{- 26 + 3 \cdot 3}{3}

$\frac{- 26 + 3 \cdot 3}{3}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

3

$3$ by

3

$3$ .

\frac{- 26 + 9}{3}

$\frac{- 26 + 9}{3}$

Step 5.2

Add

- 26

$- 26$ and

9

$9$ .

\frac{- 17}{3}

$\frac{- 17}{3}$

\frac{- 17}{3}

$\frac{- 17}{3}$

Step 6

Move the negative in front of the fraction.

- \frac{17}{3}

$- \frac{17}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

- \frac{17}{3}

$- \frac{17}{3}$

Decimal Form:

- 5.\overline{6}

$- 5.\overline{6}$

Mixed Number Form:

- 5 \frac{2}{3}

$- 5 \frac{2}{3}$