Basic Math Examples

15 \div 5 \frac{1}{5}

$15 \div 5 \frac{1}{5}$

Step 1

Convert

5 \frac{1}{5}

$5 \frac{1}{5}$ 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 (5 + \frac{1}{5})

$15 \div (5 + \frac{1}{5})$

Step 1.2

Add

5

$5$ and

\frac{1}{5}

$\frac{1}{5}$ .

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Step 1.2.1

To write

5

$5$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

15 \div (5 \cdot \frac{5}{5} + \frac{1}{5})

$15 \div (5 \cdot \frac{5}{5} + \frac{1}{5})$

Step 1.2.2

Combine

5

$5$ and

\frac{5}{5}

$\frac{5}{5}$ .

15 \div (\frac{5 \cdot 5}{5} + \frac{1}{5})

$15 \div (\frac{5 \cdot 5}{5} + \frac{1}{5})$

Step 1.2.3

Combine the numerators over the common denominator.

15 \div \frac{5 \cdot 5 + 1}{5}

$15 \div \frac{5 \cdot 5 + 1}{5}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

5

$5$ by

5

$5$ .

15 \div \frac{25 + 1}{5}

$15 \div \frac{25 + 1}{5}$

Step 1.2.4.2

Add

25

$25$ and

1

$1$ .

15 \div \frac{26}{5}

$15 \div \frac{26}{5}$

15 \div \frac{26}{5}

$15 \div \frac{26}{5}$

15 \div \frac{26}{5}

$15 \div \frac{26}{5}$

15 \div \frac{26}{5}

$15 \div \frac{26}{5}$

Step 2

To divide by a fraction, multiply by its reciprocal.

15 (\frac{5}{26})

$15 (\frac{5}{26})$

Step 3

Multiply

15 (\frac{5}{26})

$15 (\frac{5}{26})$ .

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Step 3.1

Combine

15

$15$ and

\frac{5}{26}

$\frac{5}{26}$ .

\frac{15 \cdot 5}{26}

$\frac{15 \cdot 5}{26}$

Step 3.2

Multiply

15

$15$ by

5

$5$ .

\frac{75}{26}

$\frac{75}{26}$

\frac{75}{26}

$\frac{75}{26}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{75}{26}

$\frac{75}{26}$

Decimal Form:

2.88461538 \dots

$2.88461538 \dots$

Mixed Number Form:

2 \frac{23}{26}

$2 \frac{23}{26}$