#1**+9 **

If I read your question correctly, 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.

Check this with your calculator...I think you'll get .5555.

Add the 1 back to the front of the fraction. to get the mixed number = 1 + (5555/9999).

That's it.

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.

Check this with your calculator...I think you'll get .5555.

Add the 1 back to the front of the fraction. to get the mixed number = 1 + (5555/9999).

That's it.

CPhill Mar 17, 2014

#2**0 **

If the 5 recurs forever then:

Recurring.PNG

boo09:Rewrite as a simplified fraction.

1.5¯=?

If the 5 recurs forever then:

Recurring.PNG

Alan Mar 17, 2014

#3**0 **

Thanks guy but I can't help myself.

My way is more versatile than CPhill's and easier than Alan's. That's what I think anyway.

Besides it was good LaTex practice.

140318 repeater decimal to fraction.JPG

boo09:Rewrite as a simplified fraction.

1.5¯=?

Thanks guy but I can't help myself.

My way is more versatile than CPhill's and easier than Alan's. That's what I think anyway.

Besides it was good LaTex practice.

140318 repeater decimal to fraction.JPG

Melody Mar 18, 2014