
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
 LinkBack  Thread Tools  Display Modes 
May 4th, 2008, 01:39 PM  #1 
Newbie Joined: Mar 2008 Posts: 14 Thanks: 0  Negetive number in fraction
What if the numerator or the denominator in a fraction is negative? Like 22 over 5? Can I turn it into a mixed fraction? Or if its 10 over 5 can I reduce it? Basically I need to now what I can do and not do with a negative in a fraction.

May 4th, 2008, 03:11 PM  #2 
Senior Member Joined: Apr 2008 Posts: 435 Thanks: 0 
You can both mix it and reduce it. Let us look at your two examples and see how we can think of dealing with negative fractions. 22/5 We know that 22/5 can be written at 4+2/5. Of course, it was negative before, so it should be negative now. So it can be written as 4 2/5 (or 4+ 2/5). We could think of this numerically. 22/5 = 4.4 . So 22/5 = 4.4 . Well, .4 is clearly 2/5, so 4.4=4 + .4 = 4+2/5. Finally, we could think of 22/5 as 1*(22/5). We know we can rewrite 22/5 as 4 2/5, so we have 1*(4 2/5) = 4 2/5. They all yield the same answer. 10/5 Same ideas. 1*(10/5) = 1*2 = 2 10/5 = 2, so we take the negative > 2 10/5 = 2, so 10/5 = 2 It's all on the same number line and they are all real numbers. 
May 17th, 2008, 10:32 PM  #3 
Newbie Joined: May 2008 Posts: 21 Thanks: 0 
I thought I might interject to clarify what might be a future source of confusion for you that the previous post did not mention. How do you think that you would handle 22/5? What do you think that would mean? Well, in terms of fractions you can do whatever you want with the negative. For example: 22 / 5 = ( 22 / 5 ) * ( 1 / 1 ) = 22 / 5 The lesson to be learned here is that anytime we have a negative in the denominator it really means the whole fraction is negative and we can just take it out in front. The other possible case is when we have something like 22 / 5. In this case: 22 / 5 = ( 1 * 22 ) / ( 1 * 5 ) = ( 1 / 1 ) * ( 22 / 5 ) = 22 / 5 Recall anything of the form c / c = 1. Also, although I am sure that you have had this beaten into you by now that, "A negative times a negative equals a positive." 

Tags 
fraction, negetive, number 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
fraction in negative exponentiation fraction  ThePope  Elementary Math  3  November 4th, 2012 06:05 AM 
How can I move a fraction to the bottom of a fraction  daigo  Algebra  3  July 15th, 2012 01:05 AM 
Basic Algebra, fraction of a fraction...  Tommy_Gun  Algebra  5  June 3rd, 2012 06:14 PM 
Need help converting mixed number into improper fraction.  diemathdie  Algebra  4  March 15th, 2012 09:31 PM 
Fraction and Fraction Sum Substitution  K Sengupta  Elementary Math  1  February 9th, 2010 03:34 AM 