# How do you convert 6/11 into a decimal and percent?

Apr 20, 2018

Decimal: $0. \overline{54}$
Percent: 54.bar54%

#### Explanation:

In order to find $\frac{6}{11}$, you must first find $\frac{1}{11}$ by dividing one by eleven to find your eleven equal parts. Then, multiply that by six in order to find $\frac{6}{11}$. Since .54545454 goes on forever, you can bar it. Then, the percent is much easier: just multiply the decimal by 100. $0. \overline{54}$ $\times$ 100 is $54. \overline{54}$, which is your percentage.

Apr 21, 2018

6/11=0.bar54=54.bar54%

#### Explanation:

An interesting pattern:

$\frac{1}{9} = 0. \overline{1}$

$\frac{1}{99} = 0. \overline{01}$

$\frac{1}{999} = 0. \overline{001}$ And so on.

Let's turn $\frac{6}{11}$ to a fraction with a denominator of $99$

$\frac{6}{11} \cdot \frac{9}{9} \implies \frac{54}{99}$

This tells us that:

$\frac{6}{11} = 0. \overline{54}$

Multiply this by 100 (move the decimal point two places to the right) to get the percent form.

The percent form is:

54.bar54% This is the answer!