Basic Math Examples

2 \frac{3}{9}

$2 \frac{3}{9}$

Step 1

Convert

2 \frac{3}{9}

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

$2 + \frac{3}{9}$

Step 1.2

Add

2

$2$ and

\frac{3}{9}

$\frac{3}{9}$ .

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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{3}{9}

$2 \cdot \frac{9}{9} + \frac{3}{9}$

Step 1.2.2

Combine

2

$2$ and

\frac{9}{9}

$\frac{9}{9}$ .

\frac{2 \cdot 9}{9} + \frac{3}{9}

$\frac{2 \cdot 9}{9} + \frac{3}{9}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 9 + 3}{9}

$\frac{2 \cdot 9 + 3}{9}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

9

$9$ .

\frac{18 + 3}{9}

$\frac{18 + 3}{9}$

Step 1.2.4.2

Add

18

$18$ and

3

$3$ .

\frac{21}{9}

$\frac{21}{9}$

\frac{21}{9}

$\frac{21}{9}$

\frac{21}{9}

$\frac{21}{9}$

\frac{21}{9}

$\frac{21}{9}$

Step 2

Cancel the common factor of

21

$21$ and

9

$9$ .

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Step 2.1

Factor

3

$3$ out of

21

$21$ .

\frac{3 (7)}{9}

$\frac{3 (7)}{9}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

3

$3$ out of

9

$9$ .

\frac{3 \cdot 7}{3 \cdot 3}

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

$\frac{7}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{3}$

Decimal Form:

$2.\overline{3}$

Mixed Number Form:

$2 \frac{1}{3}$