Rewrite as a simplified fraction. 1.5¯ = ?
​

1 1/2

Explanation:

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 decimali.e., 5555.

Put this over a denominator that has the same number of 9's as the number of digits in the decimal parti.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).