Basic Math Examples

\frac{1}{3} - \frac{4}{9}

$\frac{1}{3} - \frac{4}{9}$

Step 1

To write

\frac{1}{3}

$\frac{1}{3}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{1}{3} \cdot \frac{3}{3} - \frac{4}{9}

$\frac{1}{3} \cdot \frac{3}{3} - \frac{4}{9}$

Step 2

Write each expression with a common denominator of

9

$9$ , by multiplying each by an appropriate factor of

1

$1$ .

Tap for more steps...

Step 2.1

Multiply

\frac{1}{3}

$\frac{1}{3}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{3}{3 \cdot 3} - \frac{4}{9}

$\frac{3}{3 \cdot 3} - \frac{4}{9}$

Step 2.2

Multiply

3

$3$ by

3

$3$ .

\frac{3}{9} - \frac{4}{9}

$\frac{3}{9} - \frac{4}{9}$

\frac{3}{9} - \frac{4}{9}

$\frac{3}{9} - \frac{4}{9}$

Step 3

Combine the numerators over the common denominator.

\frac{3 - 4}{9}

$\frac{3 - 4}{9}$

Step 4

Subtract

4

$4$ from

3

$3$ .

\frac{- 1}{9}

$\frac{- 1}{9}$

Step 5

Move the negative in front of the fraction.

- \frac{1}{9}

$- \frac{1}{9}$

Step 6

The result can be shown in multiple forms.

Exact Form:

- \frac{1}{9}

$- \frac{1}{9}$

Decimal Form:

- 0. ¯ 1

$- 0.\overline{1}$