Divide (1/4)÷1 1/8

$\frac{1}{4} \div 1 \frac{1}{8}$

Step 1

Convert $1 \frac{1}{8}$ to an improper fraction.

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

$\frac{1}{4} \div (1 + \frac{1}{8})$

Add $1$ and $\frac{1}{8}$ .

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

$\frac{1}{4} \div (\frac{8}{8} + \frac{1}{8})$

Combine the numerators over the common denominator.

$\frac{1}{4} \div \frac{8 + 1}{8}$

Add $8$ and $1$ .

$\frac{1}{4} \div \frac{9}{8}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{1}{4} \cdot \frac{8}{9}$

Step 3

Cancel the common factor of $4$ .

Factor $4$ out of $8$ .

$\frac{1}{4} \cdot \frac{4 (2)}{9}$

Cancel the common factor.

$\frac{1}{4} \cdot \frac{4 \cdot 2}{9}$

Rewrite the expression.

$\frac{2}{9}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{9}$

Decimal Form:

$0.\overline{2}$