Question

how do you write a repeating decimal as a fraction in simplest form? 0.841 as an example

Answer 1

0.841 is not repeating, but perhaps you mean 0.841841...

Answer 2

1. Count the number of digits that repeat.
In this case, we have 3.
2. You need the number 1 follow by as many zeros as the number of repeating digits.
In this case, you will need the number 1000

Answer 3

3. Let x equal your number.
In your case, x = 0.841841... and write down x = 0.841841...
4. Above that, use the number above to multiply both sides of the equation in step 3 and write above it.
I'll use drawings now to show you better what I mean.