Answer:
I learned a great formula for repeating decimals.
OK! Let's get started. For each decimal spot that is recurring, it is put over a 9, rather than a 10.
In your case, 0.142 would be 142 over 3 9s.
142/999 cannot be simplified.
Therefore, 142/999 is our answer.
Since the repentant is over only one digit, we have to solve another way.
We can represent it as "x"
10x = 5.66.... - x = 0.56.....=5.1
9x = 51/10
51/10/9 = 51/90 = 17/30 as our answer.
We can solve this next one the same way:
100x = 3.44444 - x = 3.41
999x = 341/100
341/100/999 = 31/900 as our answer.
Now! 1.52 can be solved the same way.
In doing so, we achieve the answer 151/99 as our answer
This one can be done the same way as well. I'll give you the answer, but next time try to solve it for yourself!
179/495 is our answer.
Now, you asked for 0.004 as a fraction.
That is equivalent to 4/999 as our answer.
Note: This is because each 0 can be counted as a 9, increasing in order. (i.e., over 100 is over 99 over 1000 is over 999 over 10 9)
