SOLUTION: {{{3/4x+2/5= 1}}} I tried common denominators to get: 12x/20x + 8x/20x = 20x 20x/20x=20x ?

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Question 81187:
I tried common denominators to get:
12x/20x + 8x/20x = 20x
20x/20x=20x ?
Found 2 solutions by tutor_paul, Edwin McCravy:
Answer by tutor_paul(519)   (Show Source): You can put this solution on YOUR website!

Remember back when you had to add fractions and find the LCD. The worse case was always to multiply the 2 denominators to find a common denominsator. Use that same thinking here. In this case, the LCD is 20x. Rewriting the problem in terms of the LCD, you get:

Solve for x:



Good Luck,
tutor_paul@yahoo.com
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

Paul did it one way, but I think the most efficient way
is to clear of fractions:

 +  = 

Write the 1 as 1/1

 +  = 

Multiply every term by  which is 

Write · in front of every term: 

· + · = ·

In the first term cancel the 4x into the 20x and get 5.
In the second term, cancel the 5 into the 20 and get 4:

· + · = · 

or

 +  = 

 Erase the 1's on the bottoms:

 +  = 

Subtract  from both sides, getting  on the left
and  on the right

           = 

Divide both sides by 

            = 

Reduce fraction:

              = 

Edwin
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