Basic Math Examples

\frac{1}{3} (1) - 7

$\frac{1}{3} (1) - 7$

Step 1

Multiply

\frac{1}{3}

$\frac{1}{3}$ by

1

$1$ .

\frac{1}{3} - 7

$\frac{1}{3} - 7$

Step 2

To write

- 7

$- 7$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{1}{3} - 7 \cdot \frac{3}{3}

$\frac{1}{3} - 7 \cdot \frac{3}{3}$

Step 3

Combine

- 7

$- 7$ and

\frac{3}{3}

$\frac{3}{3}$ .

\frac{1}{3} + \frac{- 7 \cdot 3}{3}

$\frac{1}{3} + \frac{- 7 \cdot 3}{3}$

Step 4

Combine the numerators over the common denominator.

\frac{1 - 7 \cdot 3}{3}

$\frac{1 - 7 \cdot 3}{3}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

- 7

$- 7$ by

3

$3$ .

\frac{1 - 21}{3}

$\frac{1 - 21}{3}$

Step 5.2

Subtract

21

$21$ from

1

$1$ .

\frac{- 20}{3}

$\frac{- 20}{3}$

\frac{- 20}{3}

$\frac{- 20}{3}$

Step 6

Move the negative in front of the fraction.

- \frac{20}{3}

$- \frac{20}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

- \frac{20}{3}

$- \frac{20}{3}$

Decimal Form:

- 6.\overline{6}

$- 6.\overline{6}$

Mixed Number Form:

- 6 \frac{2}{3}

$- 6 \frac{2}{3}$