Basic Math Examples

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

$100 \div 4 \frac{2}{5}$

Step 1

Convert

$4 \frac{2}{5}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

$100 \div (4 + \frac{2}{5})$

Step 1.2

Add

$4$ and

$\frac{2}{5}$ .

Tap for more steps...

Step 1.2.1

To write

$4$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$100 \div (4 \cdot \frac{5}{5} + \frac{2}{5})$

Step 1.2.2

Combine

$4$ and

$\frac{5}{5}$ .

$100 \div (\frac{4 \cdot 5}{5} + \frac{2}{5})$

Step 1.2.3

Combine the numerators over the common denominator.

$100 \div \frac{4 \cdot 5 + 2}{5}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

$4$ by

$5$ .

$100 \div \frac{20 + 2}{5}$

Step 1.2.4.2

Add

$20$ and

$2$ .

$100 \div \frac{22}{5}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$100 (\frac{5}{22})$

Step 3

Cancel the common factor of

$2$ .

Tap for more steps...

Step 3.1

Factor

$2$ out of

$100$ .

$2 (50) \frac{5}{22}$

Step 3.2

Factor

$2$ out of

$22$ .

$2 \cdot 50 \frac{5}{2 \cdot 11}$

Step 3.3

Cancel the common factor.

$2 \cdot 50 \frac{5}{2 \cdot 11}$

Step 3.4

Rewrite the expression.

$50 (\frac{5}{11})$

Step 4

Combine

$50$ and

$\frac{5}{11}$ .

$\frac{50 \cdot 5}{11}$

Step 5

Multiply

$50$ by

$5$ .

$\frac{250}{11}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{250}{11}$

Decimal Form:

$22.\overline{72}$

Mixed Number Form:

$22 \frac{8}{11}$