Question

How do you change 9 1/7% to a decimal?

Answer 1

If we are looking at nine and one seventh percent of something,

Then: `9 1/7% = 0.091`

Explanation:

We know that `9%` of something will be `9/100 =0.09` in decimal.

Adding `1/7%` is not much, but it is different.

The calculated value of `9 1/7%` as a decimal is as follows:
`9 1/7% = 0.0914285714`

And then it can be rounded off: `9 1/7% = 0.091`

Answer 2

`0.0914` given to `3` significant figures.

Explanation:

This one is a bit awkward to work with because the sevenths give recurring decimals, so the answer will depend on what accuracy you want to give.
`1/7 = 0.bar(142857)`

To write a percent as a decimal: the denominator is already `100`, which is what is required to write a decimal.

If it was just `9%` we would have:

`9% = 9/100 = 0.09`

`9 1/7 = 9.142857142857.....`

Therefore `9 1/7% = 9.142857/100 = 0.09142857.....`

Answers are often given to `3` significant figures which would give:

`0.0914`