Basic Math Examples

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

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

Step 1

Convert

3 \frac{3}{5}

$3 \frac{3}{5}$ to an improper fraction.

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Step 1.1

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

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

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

Step 1.2

Add

3

$3$ and

\frac{3}{5}

$\frac{3}{5}$ .

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Step 1.2.1

To write

3

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

\frac{5}{5}

$\frac{5}{5}$ .

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

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

Step 1.2.2

Combine

3

$3$ and

\frac{5}{5}

$\frac{5}{5}$ .

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

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

Step 1.2.3

Combine the numerators over the common denominator.

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

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

3

$3$ by

5

$5$ .

6 \div \frac{15 + 3}{5}

$6 \div \frac{15 + 3}{5}$

Step 1.2.4.2

Add

15

$15$ and

3

$3$ .

6 \div \frac{18}{5}

$6 \div \frac{18}{5}$

6 \div \frac{18}{5}

$6 \div \frac{18}{5}$

6 \div \frac{18}{5}

$6 \div \frac{18}{5}$

6 \div \frac{18}{5}

$6 \div \frac{18}{5}$

Step 2

To divide by a fraction, multiply by its reciprocal.

6 (\frac{5}{18})

$6 (\frac{5}{18})$

Step 3

Cancel the common factor of

6

$6$ .

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Step 3.1

Factor

6

$6$ out of

18

$18$ .

6 \frac{5}{6 (3)}

$6 \frac{5}{6 (3)}$

Step 3.2

Cancel the common factor.

$6 \frac{5}{6 \cdot 3}$

Step 3.3

Rewrite the expression.

$\frac{5}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{3}$

Decimal Form:

$1.\overline{6}$

Mixed Number Form:

$1 \frac{2}{3}$