Basic Math Examples

3 \frac{5}{8} \div \frac{3}{8}

$3 \frac{5}{8} \div \frac{3}{8}$

Step 1

Convert

3 \frac{5}{8}

$3 \frac{5}{8}$ to an improper fraction.

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Step 1.1

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

(3 + \frac{5}{8}) \div \frac{3}{8}

$(3 + \frac{5}{8}) \div \frac{3}{8}$

Step 1.2

Add

3

$3$ and

\frac{5}{8}

$\frac{5}{8}$ .

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Step 1.2.1

To write

3

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

\frac{8}{8}

$\frac{8}{8}$ .

(3 \cdot \frac{8}{8} + \frac{5}{8}) \div \frac{3}{8}

$(3 \cdot \frac{8}{8} + \frac{5}{8}) \div \frac{3}{8}$

Step 1.2.2

Combine

3

$3$ and

\frac{8}{8}

$\frac{8}{8}$ .

(\frac{3 \cdot 8}{8} + \frac{5}{8}) \div \frac{3}{8}

$(\frac{3 \cdot 8}{8} + \frac{5}{8}) \div \frac{3}{8}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{3 \cdot 8 + 5}{8} \div \frac{3}{8}

$\frac{3 \cdot 8 + 5}{8} \div \frac{3}{8}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

3

$3$ by

8

$8$ .

\frac{24 + 5}{8} \div \frac{3}{8}

$\frac{24 + 5}{8} \div \frac{3}{8}$

Step 1.2.4.2

Add

24

$24$ and

5

$5$ .

\frac{29}{8} \div \frac{3}{8}

$\frac{29}{8} \div \frac{3}{8}$

\frac{29}{8} \div \frac{3}{8}

$\frac{29}{8} \div \frac{3}{8}$

\frac{29}{8} \div \frac{3}{8}

$\frac{29}{8} \div \frac{3}{8}$

\frac{29}{8} \div \frac{3}{8}

$\frac{29}{8} \div \frac{3}{8}$

Step 2

To divide by a fraction, multiply by its reciprocal.

\frac{29}{8} \cdot \frac{8}{3}

$\frac{29}{8} \cdot \frac{8}{3}$

Step 3

Cancel the common factor of

8

$8$ .

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Step 3.1

Cancel the common factor.

$\frac{29}{8} \cdot \frac{8}{3}$

Step 3.2

Rewrite the expression.

$29 (\frac{1}{3})$

Step 4

Combine

$29$ and

$\frac{1}{3}$ .

$\frac{29}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{29}{3}$

Decimal Form:

$9.\overline{6}$

Mixed Number Form:

$9 \frac{2}{3}$