Question

How do you convert .8333 as a fraction?

Answer 1

`8333/10000`

Explanation:

It really depends how precise they want you to be. In the question there are 4 significant figures, so it's in the ten thousandths place.

However if we were to round we could get a more accessible number.

`8/10` = `4/5`

It really just depends if you can round, if not then set it over the proper denominator (tenths, hundredths, thousandths, etc) and simplify as usual.

Hope that helps!

Answer 2

Assumption: The given value in the question is a repeating decimal.

`.833bar3=5/6`

Explanation:

The format of the proposed question implies that this is a repeating decimal. If so then the approach would be:

Let `x =0.83bar3" "`
Where the bar above the last 3 means that the 3 goes on repeating for ever. `color(purple)("You can use a dot or a bar for this.")`

Then `10x =8.33bar3`

So `10x-x= 7.5`

`x(10-1)=7.5`

`x=(7.5)/9`

To get rid of the decimal

`x=7.5/9 xx 1`

But write 1 as `2/2` giving

`x=7.5/9 xx 2/2 =(7.5xx2)/(9xx2)`

`x= 15/18 = 5/6`