Basic Math Examples

2 \frac{2}{9} - \frac{2}{9}

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

Step 1

Convert

2 \frac{2}{9}

$2 \frac{2}{9}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

2 + \frac{2}{9} - \frac{2}{9}

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

Step 1.2

Add

2

$2$ and

\frac{2}{9}

$\frac{2}{9}$ .

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Step 1.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{9}{9}

$\frac{9}{9}$ .

2 \cdot \frac{9}{9} + \frac{2}{9} - \frac{2}{9}

$2 \cdot \frac{9}{9} + \frac{2}{9} - \frac{2}{9}$

Step 1.2.2

Combine

2

$2$ and

\frac{9}{9}

$\frac{9}{9}$ .

\frac{2 \cdot 9}{9} + \frac{2}{9} - \frac{2}{9}

$\frac{2 \cdot 9}{9} + \frac{2}{9} - \frac{2}{9}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 9 + 2}{9} - \frac{2}{9}

$\frac{2 \cdot 9 + 2}{9} - \frac{2}{9}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

9

$9$ .

\frac{18 + 2}{9} - \frac{2}{9}

$\frac{18 + 2}{9} - \frac{2}{9}$

Step 1.2.4.2

Add

18

$18$ and

2

$2$ .

\frac{20}{9} - \frac{2}{9}

$\frac{20}{9} - \frac{2}{9}$

\frac{20}{9} - \frac{2}{9}

$\frac{20}{9} - \frac{2}{9}$

\frac{20}{9} - \frac{2}{9}

$\frac{20}{9} - \frac{2}{9}$

\frac{20}{9} - \frac{2}{9}

$\frac{20}{9} - \frac{2}{9}$

Step 2

Combine the numerators over the common denominator.

\frac{20 - 2}{9}

$\frac{20 - 2}{9}$

Step 3

Simplify the expression.

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Step 3.1

Subtract

2

$2$ from

20

$20$ .

\frac{18}{9}

$\frac{18}{9}$

Step 3.2

Divide

18

$18$ by

9

$9$ .

2

$2$

2

$2$