Basic Math Examples

5 \div 6 \frac{1}{3}

$5 \div 6 \frac{1}{3}$

Step 1

Convert

6 \frac{1}{3}

$6 \frac{1}{3}$ to an improper fraction.

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Step 1.1

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

5 \div (6 + \frac{1}{3})

$5 \div (6 + \frac{1}{3})$

Step 1.2

Add

6

$6$ and

\frac{1}{3}

$\frac{1}{3}$ .

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Step 1.2.1

To write

6

$6$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

5 \div (6 \cdot \frac{3}{3} + \frac{1}{3})

$5 \div (6 \cdot \frac{3}{3} + \frac{1}{3})$

Step 1.2.2

Combine

6

$6$ and

\frac{3}{3}

$\frac{3}{3}$ .

5 \div (\frac{6 \cdot 3}{3} + \frac{1}{3})

$5 \div (\frac{6 \cdot 3}{3} + \frac{1}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

5 \div \frac{6 \cdot 3 + 1}{3}

$5 \div \frac{6 \cdot 3 + 1}{3}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

6

$6$ by

3

$3$ .

5 \div \frac{18 + 1}{3}

$5 \div \frac{18 + 1}{3}$

Step 1.2.4.2

Add

18

$18$ and

1

$1$ .

5 \div \frac{19}{3}

$5 \div \frac{19}{3}$

5 \div \frac{19}{3}

$5 \div \frac{19}{3}$

5 \div \frac{19}{3}

$5 \div \frac{19}{3}$

5 \div \frac{19}{3}

$5 \div \frac{19}{3}$

Step 2

To divide by a fraction, multiply by its reciprocal.

5 (\frac{3}{19})

$5 (\frac{3}{19})$

Step 3

Multiply

5 (\frac{3}{19})

$5 (\frac{3}{19})$ .

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Step 3.1

Combine

5

$5$ and

\frac{3}{19}

$\frac{3}{19}$ .

\frac{5 \cdot 3}{19}

$\frac{5 \cdot 3}{19}$

Step 3.2

Multiply

5

$5$ by

3

$3$ .

\frac{15}{19}

$\frac{15}{19}$

\frac{15}{19}

$\frac{15}{19}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{15}{19}

$\frac{15}{19}$

Decimal Form:

0.78947368 \dots

$0.78947368 \dots$