Simplifying Complex Fractions

[spamon]

Hey guys just got a quick question for you. I have no idea what I should be doing when I have fractions inside fractions like (x^2y+xy^2)/(y^2+2/5xy)
The answer is apparently (5x(x+y))/5y+2x, Now I get everything else besides that when i try to solve. If someone can explain what exactly I should be doing and show me how to solve this would be much appreciated. Thanks

 

[Ishuda]

Hey guys just got a quick question for you. I have no idea what I should be doing when I have fractions inside fractions like (x^2y+xy^2)/(y^2+2/5xy)
The answer is apparently (5x(x+y))/5y+2x, Now I get everything else besides that when i try to solve. If someone can explain what exactly I should be doing and show me how to solve this would be much appreciated. Thanks

What are your thoughts? What have you done so far? Please show us your work even if you feel that it is wrong so we may try to help you. You might also read
http://www.freemathhelp.com/forum/threads/78006-Read-Before-Posting

Hint: I would start by multiplying numerator and denominator by 5:
\(\displaystyle \frac{x^2\, y\, +\, x\, y^2}{y^2\, +\, \frac{2}{5}x\, y}\, \dfrac{5}{5}\, =\, \frac{5\, (x^2\, y\, +\, x\, y^2)}{5\, y^2\, +\, 2\,x\, y}\)
Now factor the numerator and denominator and see what you get.

 

[spamon]

Thanks! But I do have one question, how come the 2 in the denominator wasn't timed by 5 as well?

 

[spamon]

What are your thoughts? What have you done so far? Please show us your work even if you feel that it is wrong so we may try to help you. You might also read
http://www.freemathhelp.com/forum/threads/78006-Read-Before-Posting

Hint: I would start by multiplying numerator and denominator by 5:
\(\displaystyle \frac{x^2\, y\, +\, x\, y^2}{y^2\, +\, \frac{2}{5}x\, y}\, \dfrac{5}{5}\, =\, \frac{5\, (x^2\, y\, +\, x\, y^2)}{5\, y^2\, +\, 2\,x\, y}\)
Now factor the numerator and denominator and see what you get.

Thanks!! But I do have one question, how come the 2 in the denominator wasn't timed by 5 as well?

 

[Deleted member 4993]

Thanks!! But I do have one question, how come the 2 in the denominator wasn't timed by 5 as well?

Because you did not have just 2 in the denominator - you had 2/5.

When 2/5 gets multiplied by 5 - it becomes just 2 !

Instead of staring at the solution - use paper and pencil !!