# How do you write 3/11 as a decimal?

Oct 31, 2015

$\frac{3}{11} = \frac{3 \cdot 9}{11 \cdot 9} = \frac{27}{99} = 0.27272727 \ldots = 0. \dot{2} \dot{7}$

#### Explanation:

If you can find a multiplier for the numerator and denominator that makes the denominator $1$ short of a power of $10$, then the numerator will give you the pattern repeated in the decimal.

For example $\frac{3}{7} = \frac{3 \cdot 142857}{7 \cdot 142857} = \frac{428571}{999999} = 0. \dot{4} 2857 \dot{1}$

Nov 1, 2015

$\frac{3}{11} = 0. \overline{27}$
$\frac{3}{11}$
$3 \div 11 = 0. \overline{27}$