
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
October 19th, 2017, 08:52 AM  #1 
Newbie Joined: Oct 2017 From: Sweden Posts: 1 Thanks: 0  Reducing fractions to its simplest form ( with exponents)
Hello! I'd like some help with a few problems that I have with reducing certain fractions to its simplest form. I already know the answers since they are written down in my book; what I need help with is how to think, explanation. Here are the problems: a) 3AB^3/18A^3B b) 10X^3/15X^2 c) 2X+2/2X Thanks. Last edited by skipjack; October 19th, 2017 at 09:02 AM. 
October 19th, 2017, 09:18 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 19,960 Thanks: 1846 
In each fraction, identify any factor (other than 1) of every term of the numerator that is also a factor of every term of the denominator, then remove that factor from both the numerator and the denominator (this amounts to dividing every term by the factor). (c) 2X + 2 and 2X have 2 as a common factor. To remove 2 from the second term of the numerator, replace that term with 1. Hence the result is (X + 1)/X. This assumes that the original fraction was intended to be (2X + 2)/(2X). Having removed a common factor, repeat the process if another common factor still exists. Is that sufficient explanation? 
October 19th, 2017, 10:36 AM  #3 
Math Team Joined: May 2013 From: The Astral plane Posts: 1,914 Thanks: 774 Math Focus: Wibbly wobbly timeywimey stuff.  Hmmm... Seems I'm doing the "pet peeve" thing today. Warning! Warning!! Pet peeve alert! Warning! a) (3AB^3)/(18A^3B) b) (10X^3)/(15X^2) c) (2X + 2)/(2X) The parentheses are important. For example, using order of operations: a) 3AB^3/18A^3B = (3AB^3/18 ) * A^3B = (3AB^3 * A^3B)/18 which is not at all what you were trying to say. See here: Order of operations. Pet peeve ended. I'm all better now! Dan 

Tags 
exponents, form, fractions, reducing, simplest 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Divide and state the quotient in simplest form 2. multiply and state in simplest form  tutorguy  Algebra  3  June 1st, 2016 08:01 AM 
Question about reducing fractions  maxmac97  Elementary Math  8  February 4th, 2015 02:48 PM 
Do I not list simplest form?  Opposite  Algebra  6  October 17th, 2014 03:22 AM 
What is the simplest form of this  naufalzhafran  Elementary Math  2  March 9th, 2014 01:20 AM 
question about reducing fractions  goober42  Elementary Math  7  September 8th, 2011 11:04 PM 