Ask your own question, for FREE!
Mathematics 16 Online
OpenStudy (kingmomo):

Please help Me simplify Someone!! Need to make sure I am correct!!

OpenStudy (kingmomo):

\[\frac{ x+6 }{ x+4 }+\frac{ x-3 }{ 3 }\]

OpenStudy (kingmomo):

\[\frac{ x+6 }{ x+4 }+\frac{ x-3 }{ 3 }\]

OpenStudy (mathmale):

Step 1: Identify the LCD (lowest common denominator). Step 2: manipulate both fractions so that their denominators become the same: the LCD. Step 3: add your two revised fractions together and simplify the results.

OpenStudy (kingmomo):

how do I find the LCD if its x+4 and 3

OpenStudy (mathmale):

If you had the following:\[\frac{ 1 }{ 4 }+\frac{ 1 }{ 3 }\]

OpenStudy (mathmale):

how would you find the LCD?

OpenStudy (kingmomo):

1/7?

OpenStudy (kingmomo):

so its x+7

OpenStudy (kingmomo):

so its x+3/x+7?

OpenStudy (mathmale):

Finding the LCD involves multiplication, whereas you appear to have added 3 and 4 together to get 7. No. Try again. What do you remember about the concept, "LCD?"

OpenStudy (kingmomo):

so its 3x+12

OpenStudy (kingmomo):

or is it 3(x+4)

OpenStudy (mathmale):

Yes, or you could just state that the LCD is 3(x+4). I prefer 3(x+4). You're not done yet, however. Now that you have the correct LCD, how are you going to use it to combine the 2 fractions given you? Pls go back to my example and figure out how to combine (1/3) and (1/4).

OpenStudy (kingmomo):

so the numerator is x^2+3x-18

OpenStudy (mathmale):

Mind answering my question: What is the sum of (1/4) and (1/3)? Next, please show how you got your x^2+3x-18.

OpenStudy (kingmomo):

1/7

OpenStudy (kingmomo):

i have no idea how i got the numerator there are only two answers with the denominator we got the other numerator is x^2+4x+6

OpenStudy (kingmomo):

so i got x^2+3x-18

OpenStudy (mathmale):

Finding the LCD involves multiplication, whereas you appear to have added 3 and 4 together to get 7. No. Try again. What do you remember about the concept, "LCD?" I'm willing to work with you if you want to learn how to find and use the LCD, but not if you only want a "right" or "wrong" response from me.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!