Basic Math Examples

\frac{5}{9} - \frac{2}{3}

$\frac{5}{9} - \frac{2}{3}$

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{5}{9} - \frac{2}{3} \cdot \frac{3}{3}

$\frac{5}{9} - \frac{2}{3} \cdot \frac{3}{3}$

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{5}{9} - \frac{2 \cdot 3}{3 \cdot 3}

$\frac{5}{9} - \frac{2 \cdot 3}{3 \cdot 3}$

Step 2.2

Multiply

3

$3$ by

3

$3$ .

\frac{5}{9} - \frac{2 \cdot 3}{9}

$\frac{5}{9} - \frac{2 \cdot 3}{9}$

\frac{5}{9} - \frac{2 \cdot 3}{9}

$\frac{5}{9} - \frac{2 \cdot 3}{9}$

Step 3

Combine the numerators over the common denominator.

\frac{5 - 2 \cdot 3}{9}

$\frac{5 - 2 \cdot 3}{9}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

- 2

$- 2$ by

3

$3$ .

\frac{5 - 6}{9}

$\frac{5 - 6}{9}$

Step 4.2

Subtract

6

$6$ from

5

$5$ .

\frac{- 1}{9}

$\frac{- 1}{9}$

\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

$- 0.\overline{1}$