Basic Math Examples

2 \div 3 \frac{2}{3}

$2 \div 3 \frac{2}{3}$

Step 1

Convert

3 \frac{2}{3}

$3 \frac{2}{3}$ to an improper fraction.

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Step 1.1

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

2 \div (3 + \frac{2}{3})

$2 \div (3 + \frac{2}{3})$

Step 1.2

Add

3

$3$ and

\frac{2}{3}

$\frac{2}{3}$ .

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Step 1.2.1

To write

3

$3$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

2 \div (3 \cdot \frac{3}{3} + \frac{2}{3})

$2 \div (3 \cdot \frac{3}{3} + \frac{2}{3})$

Step 1.2.2

Combine

3

$3$ and

\frac{3}{3}

$\frac{3}{3}$ .

2 \div (\frac{3 \cdot 3}{3} + \frac{2}{3})

$2 \div (\frac{3 \cdot 3}{3} + \frac{2}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

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

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

3

$3$ by

3

$3$ .

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

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

Step 1.2.4.2

Add

9

$9$ and

2

$2$ .

2 \div \frac{11}{3}

$2 \div \frac{11}{3}$

2 \div \frac{11}{3}

$2 \div \frac{11}{3}$

2 \div \frac{11}{3}

$2 \div \frac{11}{3}$

2 \div \frac{11}{3}

$2 \div \frac{11}{3}$

Step 2

To divide by a fraction, multiply by its reciprocal.

2 (\frac{3}{11})

$2 (\frac{3}{11})$

Step 3

Multiply

2 (\frac{3}{11})

$2 (\frac{3}{11})$ .

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Step 3.1

Combine

2

$2$ and

\frac{3}{11}

$\frac{3}{11}$ .

\frac{2 \cdot 3}{11}

$\frac{2 \cdot 3}{11}$

Step 3.2

Multiply

2

$2$ by

3

$3$ .

\frac{6}{11}

$\frac{6}{11}$

\frac{6}{11}

$\frac{6}{11}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{6}{11}

$\frac{6}{11}$

Decimal Form:

0. ¯ ¯¯ ¯ 54

$0.\overline{54}$