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

2 Answers
nat
Apr 20, 2018

Decimal: 0.bar54
Percent: 54.bar54%

Explanation:

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

Parabola
Apr 21, 2018

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

Explanation:

An interesting pattern:

1/9=0.bar1

1/99=0.bar01

1/999=0.bar001 And so on.

Let's turn 6/11 to a fraction with a denominator of 99

6/11*9/9=>54/99

This tells us that:

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.bar54% This is the answer!

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