Question

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

Answer 1

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.

Answer 2

`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!