Basic Math Examples

2 \frac{4}{9} \div \frac{11}{9}

$2 \frac{4}{9} \div \frac{11}{9}$

Step 1

Convert

2 \frac{4}{9}

$2 \frac{4}{9}$ 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{4}{9}) \div \frac{11}{9}

$(2 + \frac{4}{9}) \div \frac{11}{9}$

Step 1.2

Add

2

$2$ and

\frac{4}{9}

$\frac{4}{9}$ .

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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{4}{9}) \div \frac{11}{9}

$(2 \cdot \frac{9}{9} + \frac{4}{9}) \div \frac{11}{9}$

Step 1.2.2

Combine

2

$2$ and

\frac{9}{9}

$\frac{9}{9}$ .

(\frac{2 \cdot 9}{9} + \frac{4}{9}) \div \frac{11}{9}

$(\frac{2 \cdot 9}{9} + \frac{4}{9}) \div \frac{11}{9}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 9 + 4}{9} \div \frac{11}{9}

$\frac{2 \cdot 9 + 4}{9} \div \frac{11}{9}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

9

$9$ .

\frac{18 + 4}{9} \div \frac{11}{9}

$\frac{18 + 4}{9} \div \frac{11}{9}$

Step 1.2.4.2

Add

18

$18$ and

4

$4$ .

\frac{22}{9} \div \frac{11}{9}

$\frac{22}{9} \div \frac{11}{9}$

\frac{22}{9} \div \frac{11}{9}

$\frac{22}{9} \div \frac{11}{9}$

\frac{22}{9} \div \frac{11}{9}

$\frac{22}{9} \div \frac{11}{9}$

\frac{22}{9} \div \frac{11}{9}

$\frac{22}{9} \div \frac{11}{9}$

Step 2

To divide by a fraction, multiply by its reciprocal.

\frac{22}{9} \cdot \frac{9}{11}

$\frac{22}{9} \cdot \frac{9}{11}$

Step 3

Cancel the common factor of

11

$11$ .

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Step 3.1

Factor

11

$11$ out of

22

$22$ .

\frac{11 (2)}{9} \cdot \frac{9}{11}

$\frac{11 (2)}{9} \cdot \frac{9}{11}$

Step 3.2

Cancel the common factor.

$\frac{11 \cdot 2}{9} \cdot \frac{9}{11}$

Step 3.3

Rewrite the expression.

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

Step 4

Cancel the common factor of

$9$ .

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Step 4.1

Cancel the common factor.

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

Step 4.2

Rewrite the expression.

$2$