
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
 LinkBack  Thread Tools  Display Modes 
February 9th, 2016, 11:55 AM  #1 
Newbie Joined: Feb 2016 From: London Posts: 2 Thanks: 0  Is there a name for this? Can it be expressed algebraically?
I'm not sure if this has a name but: 6420 / 420 = 15.285714285714285714285714285714 420 / 15.285714285714285714285714285714 = 27.476635514018691588785046728972 27.476635514018691588785046728972 / 420 = 0.06542056074766355140186915887851 420 / 0.06542056074766355140186915887851 = 6419.9999999 or 6420 Another example: 5000 / 200 = 25 200 / 25 = 8 8 / 200 = 0.04 200 / 0.04 = 5000 Is there a name for this? 
February 9th, 2016, 02:46 PM  #2 
Senior Member Joined: Jul 2014 From: भारत Posts: 1,178 Thanks: 230 
Division.

February 9th, 2016, 03:07 PM  #3 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,305 Thanks: 2443 Math Focus: Mainly analysis and algebra 
$${a \over b}=c \\ {b \over c}={b \over {a \over b}}= {b^2 \over a} \\ {{b^2 \over a} \over b}={b \over a} \\ {b \over {b \over a}}=a$$ So it's just a pattern of division that works for any nonzero $a$ and $b$. 
February 10th, 2016, 03:31 AM  #4 
Newbie Joined: Feb 2016 From: London Posts: 2 Thanks: 0 
Just wanted to say, I know it's division (obviously), but I wanted to know if repeatedly dividing like this, and ending up with the number you started with, I was wondering if this kind of pattern had a name. Thanks anyway.


Tags 
algebraically, expressed 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Ratios as expressed by division  Mr Davis 97  Algebra  2  January 4th, 2015 10:06 PM 
Powers expressed as sum of consecutive numbers  mente oscura  Number Theory  7  June 1st, 2013 02:48 AM 
Why can a function be expressed as a Taylor Series?  Issler  Real Analysis  1  March 14th, 2012 12:56 PM 
Every integer can be expressed as a product of primes?  self_study  Number Theory  8  March 14th, 2010 04:04 AM 
Factorial expressed as the sum of a series  new ?  CarlPierce  Number Theory  5  October 31st, 2009 02:29 AM 