SOLUTION: this is a complex fraction that I have attempted to solve but I am unable. Please help. 3over 4 + 2 over 5 long line which means divide I think 1 over 2 +3 over 5

Question 215851: this is a complex fraction that I have attempted to solve but I am unable. Please help. 3over 4 + 2 over 5 long line which means divide I think 1 over 2 +3 over 5
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!

There are two main methods of simplifying this. A lot of books call it "Method I" compared to "Method II." Probably the best way to explain it here is called "Method I". I call this the "un-stacking method."

The longer line means "DIVIDE", so just "un-stack the problem like this:

DIVIDED BY

Next, you have to simplify each fraction by finding a common denominator for each. The LCD for the first fraction is 20. The second is 10. Write it like this:

DIVIDED BY
DIVIDED BY

DIVIDED BY
DIVIDED BY

Now, invert the second fraction and multiply:

Divide out the 10:

I have a pretty good page about complex fractions if you need to this with variables like x and y. If you need to see this, then find my homepage by doing a Google search for my last name "Rapalje". Look for the "MATH IN LIVING COLOR" page near the top of my Homepage. Choose "Intermediate Algebra", and look in Chapter 2 for the topic "Complex Fractions."

R^2
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus

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