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

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

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Answer 1 · 2018-04-20T00:07:32

Decimal: $0 . ¯ ¯¯ ¯ 54$ $0.bar54$
Percent: $54 . ¯ ¯¯ ¯ 54 %$ $54.bar54%$

Explanation:

In order to find $\frac{6}{11}$ $6/11$ , you must first find $\frac{1}{11}$ $1/11$ by dividing one by eleven to find your eleven equal parts. Then, multiply that by six in order to find $\frac{6}{11}$ $6/11$ . Since .54545454 goes on forever, you can bar it. Then, the percent is much easier: just multiply the decimal by 100. $0 . ¯ ¯¯ ¯ 54$ $0.bar54$ $\times$ $times$ 100 is $54 . ¯ ¯¯ ¯ 54$ $54.bar54$ , which is your percentage.

Answer 2 · 2018-04-21T00:53:56

$\frac{6}{11} = 0 . ¯ ¯¯ ¯ 54 = 54 . ¯ ¯¯ ¯ 54 %$ $6/11=0.bar54=54.bar54%$

Explanation:

An interesting pattern:

$\frac{1}{9} = 0 . ¯ 1$ $1/9=0.bar1$

$\frac{1}{99} = 0 . ¯ ¯¯ ¯ 01$ $1/99=0.bar01$

$\frac{1}{999} = 0 . ¯ ¯¯¯¯ ¯ 001$ $1/999=0.bar001$ And so on.

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

$\frac{6}{11} \cdot \frac{9}{9} \Rightarrow \frac{54}{99}$ $6/11*9/9=>54/99$

This tells us that:

$\frac{6}{11} = 0 . ¯ ¯¯ ¯ 54$ $6/11=0.bar54$

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

The percent form is:

$54 . ¯ ¯¯ ¯ 54 %$ $54.bar54%$ This is the answer!

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

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