0
Still curious? Ask our experts.
Chat with our AI personalities
Blake
Ezra
FranAdd your answer:
Earn +20 pts
What is 0.111111111 converted to a fraction?
To convert 0.111111111 to a fraction, we can represent it as 1/9 since the decimal 0.111111111 is a repeating decimal with the pattern 1 repeating infinitely. This can be simplified to 1/9, which is the fraction form of the decimal 0.111111111.
How do change a decimal to a fraction?
Divide it. For example 0.02 is 2 tenths or 2/100, simplified to 1/50. For more complicated decimals just follow the same; 0.05783 is 5783/10000 you can do it will simpler ones too. 0.8 is 8/10 or 2/5. If its s repeating decimal it usually corresponds to something you will have to memorize, 0.3 repeating is 1/3, 0.6 repeating is 2/3 and so on
Are repeating decimal irrational?
No.Repeating decimals are rational.To convert a repeating decimal to a fraction, put the repeating digit(s) over the same number of 9s and simplify:examples.0.333...It has one repeating digit (3) so put it over one 9 (9) to get 3/9 which can be simplified by dividing top and bottom by 3 (the hcf of 3 and 9) to get 1/3. Thus: 0.333... = 1/30.181818...It has two repeating digits (18) so put them over two 9s (99) to get 18/99 which can be simplified by dividing top and bottom by 9 (the hcf of 18 and 99) to get 2/11. Thus: 0.181818.... = 2/11
What is 2.16 repeating as a fraction in simplest form?
There are two possible answers depending upon what is repeating:2.161616... = (216.16... - 2.16...)/99 = 214/99 = 2 16/992.1666... = (21.66... - 2.16...)/9 = 19.5/9 = 195/90 = 13/6 = 2â…™
How do you convert 4.857142857 to a fraction?
As given, 4.857142857 = 4 857142857/1000000000 which cannot be simplified further. Except that the decimal representation appears to be a truncated version of a repeating decimal. Then, let S = 4.857142857... then 1000000S = 4857142.857142... so that 999999S = 4857138 then S = 4857138/999999 = 34/7 or 4 6/7
