Basic Math Examples

4 \div 2 \frac{2}{5}

$4 \div 2 \frac{2}{5}$

Step 1

Convert

$2 \frac{2}{5}$ to an improper fraction.

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Step 1.1

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

$4 \div (2 + \frac{2}{5})$

Step 1.2

Add

$2$ and

$\frac{2}{5}$ .

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Step 1.2.1

To write

$2$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$4 \div (2 \cdot \frac{5}{5} + \frac{2}{5})$

Step 1.2.2

Combine

$2$ and

$\frac{5}{5}$ .

$4 \div (\frac{2 \cdot 5}{5} + \frac{2}{5})$

Step 1.2.3

Combine the numerators over the common denominator.

$4 \div \frac{2 \cdot 5 + 2}{5}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$2$ by

$5$ .

$4 \div \frac{10 + 2}{5}$

Step 1.2.4.2

Add

$10$ and

$2$ .

$4 \div \frac{12}{5}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$4 (\frac{5}{12})$

Step 3

Cancel the common factor of

$4$ .

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Step 3.1

Factor

$4$ out of

$12$ .

$4 \frac{5}{4 (3)}$

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$\frac{5}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{3}$

Decimal Form:

$1.\overline{6}$

Mixed Number Form:

$1 \frac{2}{3}$