Associated Topics || Dr. Math Home || Search Dr. Math

### 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/
```
Associated Topics:
Middle School Algebra
Middle School Fractions

Search the Dr. Math Library:

 Find items containing (put spaces between keywords):   Click only once for faster results: [ Choose "whole words" when searching for a word like age.] all keywords, in any order at least one, that exact phrase parts of words whole words

Submit your own question to Dr. Math
Math Forum Home || Math Library || Quick Reference || Math Forum Search