Basic Math Examples

\frac{1}{3} - 10

$\frac{1}{3} - 10$

Step 1

To write

- 10

$- 10$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{1}{3} - 10 \cdot \frac{3}{3}

$\frac{1}{3} - 10 \cdot \frac{3}{3}$

Step 2

Combine

- 10

$- 10$ and

\frac{3}{3}

$\frac{3}{3}$ .

\frac{1}{3} + \frac{- 10 \cdot 3}{3}

$\frac{1}{3} + \frac{- 10 \cdot 3}{3}$

Step 3

Combine the numerators over the common denominator.

\frac{1 - 10 \cdot 3}{3}

$\frac{1 - 10 \cdot 3}{3}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

- 10

$- 10$ by

3

$3$ .

\frac{1 - 30}{3}

$\frac{1 - 30}{3}$

Step 4.2

Subtract

30

$30$ from

1

$1$ .

\frac{- 29}{3}

$\frac{- 29}{3}$

\frac{- 29}{3}

$\frac{- 29}{3}$

Step 5

Move the negative in front of the fraction.

- \frac{29}{3}

$- \frac{29}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

- \frac{29}{3}

$- \frac{29}{3}$

Decimal Form:

- 9.\overline{6}

$- 9.\overline{6}$

Mixed Number Form:

- 9 \frac{2}{3}

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