Divide (2/25)÷1 1/10

$\frac{2}{25} \div 1 \frac{1}{10}$

Step 1

Convert $1 \frac{1}{10}$ to an improper fraction.

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

$\frac{2}{25} \div (1 + \frac{1}{10})$

Add $1$ and $\frac{1}{10}$ .

Write $1$ as a fraction with a common denominator.

$\frac{2}{25} \div (\frac{10}{10} + \frac{1}{10})$

Combine the numerators over the common denominator.

$\frac{2}{25} \div \frac{10 + 1}{10}$

Add $10$ and $1$ .

$\frac{2}{25} \div \frac{11}{10}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{2}{25} \cdot \frac{10}{11}$

Step 3

Cancel the common factor of $5$ .

Factor $5$ out of $25$ .

$\frac{2}{5 (5)} \cdot \frac{10}{11}$

Factor $5$ out of $10$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 4

Multiply $\frac{2}{5}$ by $\frac{2}{11}$ .

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

Step 5

Multiply $2$ by $2$ .

$\frac{4}{5 \cdot 11}$

Step 6

Multiply $5$ by $11$ .

$\frac{4}{55}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{55}$

Decimal Form:

$0.0\overline{72}$