Basic Math Examples

\frac{2}{3} - \frac{1}{9}

$\frac{2}{3} - \frac{1}{9}$

Step 1

To write

\frac{2}{3}

$\frac{2}{3}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{2}{3} \cdot \frac{3}{3} - \frac{1}{9}

$\frac{2}{3} \cdot \frac{3}{3} - \frac{1}{9}$

Step 2

Write each expression with a common denominator of

9

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

1

$1$ .

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Step 2.1

Multiply

\frac{2}{3}

$\frac{2}{3}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{2 \cdot 3}{3 \cdot 3} - \frac{1}{9}

$\frac{2 \cdot 3}{3 \cdot 3} - \frac{1}{9}$

Step 2.2

Multiply

3

$3$ by

3

$3$ .

\frac{2 \cdot 3}{9} - \frac{1}{9}

$\frac{2 \cdot 3}{9} - \frac{1}{9}$

\frac{2 \cdot 3}{9} - \frac{1}{9}

$\frac{2 \cdot 3}{9} - \frac{1}{9}$

Step 3

Combine the numerators over the common denominator.

\frac{2 \cdot 3 - 1}{9}

$\frac{2 \cdot 3 - 1}{9}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

2

$2$ by

3

$3$ .

\frac{6 - 1}{9}

$\frac{6 - 1}{9}$

Step 4.2

Subtract

1

$1$ from

6

$6$ .

\frac{5}{9}

$\frac{5}{9}$

\frac{5}{9}

$\frac{5}{9}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{5}{9}

$\frac{5}{9}$

Decimal Form:

0.\overline{5}

$0.\overline{5}$

\frac{2}{3} - \frac{1}{9}

$\frac{2}{3} - \frac{1}{9}$

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