Basic Math Examples

15 \div 8 \frac{1}{3}

$15 \div 8 \frac{1}{3}$

Step 1

Convert

8 \frac{1}{3}

$8 \frac{1}{3}$ to an improper fraction.

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Step 1.1

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

15 \div (8 + \frac{1}{3})

$15 \div (8 + \frac{1}{3})$

Step 1.2

Add

8

$8$ and

\frac{1}{3}

$\frac{1}{3}$ .

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Step 1.2.1

To write

8

$8$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

15 \div (8 \cdot \frac{3}{3} + \frac{1}{3})

$15 \div (8 \cdot \frac{3}{3} + \frac{1}{3})$

Step 1.2.2

Combine

8

$8$ and

\frac{3}{3}

$\frac{3}{3}$ .

15 \div (\frac{8 \cdot 3}{3} + \frac{1}{3})

$15 \div (\frac{8 \cdot 3}{3} + \frac{1}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

15 \div \frac{8 \cdot 3 + 1}{3}

$15 \div \frac{8 \cdot 3 + 1}{3}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

8

$8$ by

3

$3$ .

15 \div \frac{24 + 1}{3}

$15 \div \frac{24 + 1}{3}$

Step 1.2.4.2

Add

24

$24$ and

1

$1$ .

15 \div \frac{25}{3}

$15 \div \frac{25}{3}$

15 \div \frac{25}{3}

$15 \div \frac{25}{3}$

15 \div \frac{25}{3}

$15 \div \frac{25}{3}$

15 \div \frac{25}{3}

$15 \div \frac{25}{3}$

Step 2

To divide by a fraction, multiply by its reciprocal.

15 (\frac{3}{25})

$15 (\frac{3}{25})$

Step 3

Cancel the common factor of

5

$5$ .

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Step 3.1

Factor

5

$5$ out of

15

$15$ .

5 (3) \frac{3}{25}

$5 (3) \frac{3}{25}$

Step 3.2

Factor

5

$5$ out of

25

$25$ .

5 \cdot 3 \frac{3}{5 \cdot 5}

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

Step 3.3

Cancel the common factor.

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

Step 3.4

Rewrite the expression.

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

Step 4

Combine

$3$ and

$\frac{3}{5}$ .

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

Step 5

Multiply

$3$ by

$3$ .

$\frac{9}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{5}$

Decimal Form:

$1.8$

Mixed Number Form:

$1 \frac{4}{5}$