Algebraic Fractions

Date: 5/27/96 at 23:39:56
From: Anonymous
Subject: Algebraic fractions

1) How would you solve for x if the equation is 2/x = 4/3?
2) How would you find the LCD?

Date: 6/5/96 at 21:34:9
From: Doctor Jodi
Subject: Re: Algebraic fractions

Hi there!  Here's how I'd solve for x:

2   4
- = -
x   3

multiply each side by 3x

3x * 2  =  3x * 4
------     ------
  x           3

6 = 4x

Now divide each side by 4

6     4x
-  = ----
4      4

6/4 = x = 3/2

(Remember that since x was in the denominator, a solution which makes    
x = 0 would be invalid)


As far as finding the LCD, before you know what x is, strictly 
speaking, you CAN'T find the LCD.  You can, however, find a common 
denominator, like 3x.

Hope this helps!
 
-Doctor Jodi,  The Math Forum
 Check out our web site!  http://mathforum.org/dr.math/