SOLUTION: Good afternoon I have 1/x + 1/1.25x = 1/5 I guess i'm confused why can i multiply through by 5x in order to get 5+5/1.25=x Could you please explain the process and also o

Algebra ->  Equations -> SOLUTION: Good afternoon I have 1/x + 1/1.25x = 1/5 I guess i'm confused why can i multiply through by 5x in order to get 5+5/1.25=x Could you please explain the process and also o      Log On


   

Question 177255: Good afternoon
I have 1/x + 1/1.25x = 1/5
I guess i'm confused why can i multiply through by 5x in order to get
5+5/1.25=x
Could you please explain the process and also offer some tips when dealing with fraction. Thanks a lot
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Is the equation 1%2F%28x%29+%2B+1%2F%281.25x%29+=+1%2F%285%29 ???


1%2F%28x%29+%2B+1%2F%281.25x%29+=+1%2F%285%29 Start with the given equation.


Multiply EVERY term by the LCD 6.25x to clear out the fractions.


6.25%2B5=1.25x Multiply and simplify.


11.25=1.25x Combine like terms.


11.25%2F1.25=x Divide both sides by 1.25 to isolate x.


9=x Divide


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Answer:

So the answer is x=9