QUESTION:
Rewrite as a simplified fraction.
1.55555..... = ?
ANSWER:
I think, you'd like to convert a repeating mixed number like 1.5555.. to a fraction.
Here's the way to do this.
Suppose we have 1.5555.
Forget the whole number part - we can add that back later.
Write the rest without the decimal....i.e., 5555.
Put this over a denominator that has the same number of 9's as the number of digits in the decimal part....i.e., 9999.
So we have 5555/9999.
On doing calculation, we'll get 0.5555.
Add the 1 back to the front of the fraction. to get the mixed number = 1 + (5555/9999).
