Basic Math Examples

$1 \frac{1}{3} \div \frac{4}{5}$

Step 1

Convert

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

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Step 1.1

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

$(1 + \frac{1}{3}) \div \frac{4}{5}$

Step 1.2

Add

$1$ and

$\frac{1}{3}$ .

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Step 1.2.1

Write

$1$ as a fraction with a common denominator.

$(\frac{3}{3} + \frac{1}{3}) \div \frac{4}{5}$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{3 + 1}{3} \div \frac{4}{5}$

Step 1.2.3

Add

$3$ and

$1$ .

$\frac{4}{3} \div \frac{4}{5}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{4}{3} \cdot \frac{5}{4}$

Step 3

Cancel the common factor of

$4$ .

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Step 3.1

Cancel the common factor.

$\frac{4}{3} \cdot \frac{5}{4}$

Step 3.2

Rewrite the expression.

$\frac{1}{3} \cdot 5$

Step 4

Combine

$\frac{1}{3}$ and

$5$ .

$\frac{5}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{3}$

Decimal Form:

$1.\overline{6}$

Mixed Number Form:

$1 \frac{2}{3}$