Basic Math Examples

$5 \div 13 \frac{1}{3}$

Step 1

Convert

$13 \frac{1}{3}$ to an improper fraction.

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Step 1.1

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

$5 \div (13 + \frac{1}{3})$

Step 1.2

Add

$13$ and

$\frac{1}{3}$ .

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Step 1.2.1

To write

$13$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$5 \div (13 \cdot \frac{3}{3} + \frac{1}{3})$

Step 1.2.2

Combine

$13$ and

$\frac{3}{3}$ .

$5 \div (\frac{13 \cdot 3}{3} + \frac{1}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

$5 \div \frac{13 \cdot 3 + 1}{3}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$13$ by

$3$ .

$5 \div \frac{39 + 1}{3}$

Step 1.2.4.2

Add

$39$ and

$1$ .

$5 \div \frac{40}{3}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$5 (\frac{3}{40})$

Step 3

Cancel the common factor of

$5$ .

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Step 3.1

Factor

$5$ out of

$40$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$\frac{3}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{8}$

Decimal Form:

$0.375$