We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
1669
5
avatar
Rewrite as a simplified fraction.

1.5¯=?
 Mar 17, 2014
 #1
avatar+104882 
+6
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+28194 
0
boo09:

Rewrite as a simplified fraction.

1.5¯=?



If the 5 recurs forever then:
Recurring.PNG
 Mar 17, 2014
 #3
avatar+105654 
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+104882 
+5
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+28194 
0
Well done Melody. My first step was, indeed, an unnecessary complication!
 Mar 18, 2014

6 Online Users

avatar