Basic Math Examples

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

Step 1

Find the common denominator.

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Step 1.1

Write $- 5$ as a fraction with denominator $1$ .

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

Step 1.2

Multiply $\frac{- 5}{1}$ by $\frac{3}{3}$ .

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

Step 1.3

Multiply $\frac{- 5}{1}$ by $\frac{3}{3}$ .

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

Step 1.4

Write $- 5$ as a fraction with denominator $1$ .

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

Step 1.5

Multiply $\frac{- 5}{1}$ by $\frac{3}{3}$ .

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

Step 1.6

Multiply $\frac{- 5}{1}$ by $\frac{3}{3}$ .

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Simplify each term.

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Step 3.1

Multiply $- 5$ by $3$ .

$\frac{1 - 15 - 5 \cdot 3}{3}$

Step 3.2

Multiply $- 5$ by $3$ .

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

Step 4

Simplify the expression.

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Step 4.1

Subtract $15$ from $1$ .

$\frac{- 14 - 15}{3}$

Step 4.2

Subtract $15$ from $- 14$ .

$\frac{- 29}{3}$

Step 4.3

Move the negative in front of the fraction.

$- \frac{29}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{29}{3}$

Decimal Form:

$- 9.\overline{6}$

Mixed Number Form:

$- 9 \frac{2}{3}$