Algebra Examples

\frac{1}{3} - 1

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

Step 1

To write

- 1

$- 1$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

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

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

Step 2

Combine

- 1

$- 1$ and

\frac{3}{3}

$\frac{3}{3}$ .

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

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

Step 3

Combine the numerators over the common denominator.

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

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

Step 4

Simplify the numerator.

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Step 4.1

Multiply

- 1

$- 1$ by

3

$3$ .

\frac{1 - 3}{3}

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

Step 4.2

Subtract

3

$3$ from

1

$1$ .

\frac{- 2}{3}

$\frac{- 2}{3}$

\frac{- 2}{3}

$\frac{- 2}{3}$

Step 5

Move the negative in front of the fraction.

- \frac{2}{3}

$- \frac{2}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

- \frac{2}{3}

$- \frac{2}{3}$

Decimal Form:

- 0.\overline{6}

$- 0.\overline{6}$

\frac{1}{3} - 1

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

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