The question says express each repeating decimal as a fraction:
5.23232323
This is my work but my answer doesn't seem right:
100x= 523.23232323
- 10x= 52.23232323
90x= 470.909090
/ 90x. \90x
x= 5.23232323
What am I doing wrong?
And how am I suppose to know when to multiply x by 10,100, or 1000?
Thank you!!
every repeating decimal of n digits, say, abc can be written as
abc/999
where the denominator of n digits is 10^9-1
So, .23 = 23/99
5.23 = 5 23/99 = 518/99
You should have written
100x = 523.23...
x = 5.23...
99x = 518
x = 518/99
If there are n repeating digits, multiply by 10^n