1.)Find the LCD of the fractions
2.)Simplify the expressions correctly
http://prntscr.com/b8089d

Question

1.)Find the LCD of the fractions
2.)Simplify the expressions correctly
http://prntscr.com/b8089d

jhonyy9 · Answer

what is your opinion ? how start it ?

jhonyy9 · Answer

5              4
------ - -------
 3x^2y      6xy^2

how you get LCD ?

ms-brains · Answer

I have no idea. ;-;

jhonyy9 · Answer

but you know what mean LCD - yes ?

ms-brains · Answer

Yes.

jhonyy9 · Answer

can you write it here now ?

jhonyy9 · Answer

the LCD will be divisably - need being divisably  by 3x^2y and 6xy^2

yes ?

jhonyy9 · Answer

3 is divisablie by 6 ? not but 6 is divisably by 3 so the first term will be 6 

do you can continue it for second term of LCD ?

jhonyy9 · Answer

there are x^2 and x 

x can being ? not bc. x not is divisably by x^2 but viceversa yes so the second term of LCD will be x^2 

can you getting the 3rd term ?

jhonyy9 · Answer

just same with x and x^2 so there are y and y^2 so what will be the 3rd term of LCD ? can being y ? not bc. y not is divisably by y^2 - yes ? so this mean that the 3rd term of LCD will be y^2

do you understand it now ?

jhonyy9 · Answer

so LCD = 6x^y^2
ok. ?

jhonyy9 · Answer

sorry x^2

ms-brains · Answer

Okay. Yes that makes sense

jhonyy9 · Answer

so do you can simplifie it now ?

ms-brains · Answer

6x^y^2?

jhonyy9 · Answer

no 6x^2y^2
just i missed the exponent of x there above - sorry

ms-brains · Answer

What equation do I simplify? $$\frac{ 5 }{ 6x^2y^2 } - \frac{ 4 }{ 6x^2y^2 }$$

ms-brains · Answer

That? ^^

jhonyy9 · Answer

5              4
------ - -------
 3x^2y      6xy^2

now you know that the LCD is 6x^2y^2 so make common denominator but in this case you need m,ultiplie the numerator of first fraction by 2y bc. 3x^y multiplied by 2y will result 6x^2y^2 so now please write me the numerator of second fraction how you need multiplie it for get thie LCD of 6x^2y^2 ?

jhonyy9 · Answer

you need multilie just by an x - yes ?

jhonyy9 · Answer

bc. the denominator of second fraction is 6xy^2 and for you get 6x^2y^2 so you need multiplie it just by an x 

than will get 

  5              4
------ - -------
 3x^2y      6xy^2

5*2y - 4x      10y -4x
--------- = ---------
  6x^2y^2       6x^2y^2

in case of 10y and 4x what can you factorizing out ? do you know ?

jhonyy9 · Answer

10y -4x = 2*5y -2*2x what is common factor ?

ms-brains · Answer

I know that the LCD equals $$6x^2y^2 $$

ms-brains · Answer

But I have no idea what to do next.

jhonyy9 · Answer

what i made there above

jhonyy9 · Answer

ok. ?

jhonyy9 · Answer

and now just you need factorizing out the 2 from numerator and simplifie it by 6 from denominator and will get the right answer sure

jhonyy9 · Answer

5*2y - 4x      10y -4x        2(5y -2x)            5y -2x
--------- = --------- = ----------- = ----------
  6x^2y^2       6x^2y^2       6x^2y^2            3x^2y^2

this is the simplified form of this fraction

jhonyy9 · Answer

hope you understand it 

was my pleasure 

good luck

bye bye