+0  
 
0
2179
5
avatar
Rewrite as a simplified fraction.

1.5¯=?
 Mar 17, 2014
 #1
avatar+121056 
+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.
 Mar 17, 2014
 #2
avatar+32557 
0
boo09:

Rewrite as a simplified fraction.

1.5¯=?



If the 5 recurs forever then:
Recurring.PNG
 Mar 17, 2014
 #3
avatar+114485 
0
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
 Mar 18, 2014
 #4
avatar+121056 
+8
Thanks, Melody and Alan........Both of your methods are certainly more "mathematical" than mine!!!

It's always good to learn a new method of doing things!!
 Mar 18, 2014
 #5
avatar+32557 
0
Well done Melody. My first step was, indeed, an unnecessary complication!
 Mar 18, 2014

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