Basic Math Examples

4 \div 1 \frac{1}{8}

$4 \div 1 \frac{1}{8}$

Step 1

Convert

1 \frac{1}{8}

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

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Step 1.1

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

4 \div (1 + \frac{1}{8})

$4 \div (1 + \frac{1}{8})$

Step 1.2

Add

1

$1$ and

\frac{1}{8}

$\frac{1}{8}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

4 \div (\frac{8}{8} + \frac{1}{8})

$4 \div (\frac{8}{8} + \frac{1}{8})$

Step 1.2.2

Combine the numerators over the common denominator.

4 \div \frac{8 + 1}{8}

$4 \div \frac{8 + 1}{8}$

Step 1.2.3

Add

8

$8$ and

1

$1$ .

4 \div \frac{9}{8}

$4 \div \frac{9}{8}$

4 \div \frac{9}{8}

$4 \div \frac{9}{8}$

4 \div \frac{9}{8}

$4 \div \frac{9}{8}$

Step 2

To divide by a fraction, multiply by its reciprocal.

4 (\frac{8}{9})

$4 (\frac{8}{9})$

Step 3

Multiply

4 (\frac{8}{9})

$4 (\frac{8}{9})$ .

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Step 3.1

Combine

4

$4$ and

\frac{8}{9}

$\frac{8}{9}$ .

\frac{4 \cdot 8}{9}

$\frac{4 \cdot 8}{9}$

Step 3.2

Multiply

4

$4$ by

8

$8$ .

\frac{32}{9}

$\frac{32}{9}$

\frac{32}{9}

$\frac{32}{9}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{32}{9}

$\frac{32}{9}$

Decimal Form:

3.\overline{5}

$3.\overline{5}$

Mixed Number Form:

3 \frac{5}{9}

$3 \frac{5}{9}$