this one equals 5 and 5/9
let x = 5.555555...
10x = 55.555555...
therefore 9x = 50
x = 50/9
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If that is a terminating decimal, it is 2 535353/1000000 (as a mixed number) = 2535353/1000000 (as an improper fraction) If that is a repeating decimal 2.535353... with the 53 repeating, it is 2 53/99 = 251/99
To sum this answer up you half to turn the fraction into a decimal and if it ends that is terminating but if it keeps going it is called a repeating decimal EXAMPLES Terminating- 5/10=.5 Repeating- 1/3=.3333 (bar notation over the 3)
Well, isn't that just a lovely repeating decimal we have there. Let's turn that into a fraction, shall we? If we call x = 0.7777777, then 10x = 7.7777777. Now, if we subtract x from 10x, we get 9x = 7, which simplifies to x = 7/9. And there you have it, a beautiful fraction created from a repeating decimal.
Well, isn't that a happy little question! When we have a decimal with a repeating digit, we can turn it into a fraction by setting it equal to x, multiplying by the right power of 10 to shift the repeating part, and subtracting the original number from the shifted number. In this case, 0.32 with the 2 repeating becomes 32/99. Just like that, we've turned a decimal into a lovely fraction!
You turn a fraction into a decimal by dividing the top number by the bottom. And you turn a decimal into a percent by multiplying the decimal by 100.