WILL GIVE MEDAL IF CORRECT. I need help on two but I will fan and medal. What is the least common denominator of the fraction 2 over x plus the fraction x over x plus 1 plus the fraction x plus 1 over 3 x

Question

anonymous · Answer

3x + 1
 	
3(x2 + 1)
 	
3(x + 3)
 	
3x(x + 1)

anonymous · Answer

and After the fraction x plus 2 all over 3 minus the fraction x plus 1 all over 2x have been combined using the least common denominator of 6x, what is the numerator?

anonymous · Answer

2x2 + x − 3
 	
2x2 + x − 1
 	
−2x2 + x + 6
 	
−x2 + 2x + 6

owlcoffee · Answer

Have you tried solving them, can you show me your work?

anonymous · Answer

I think it is c and a but I have no idea and I cant show my work because I am at an old computer right now:(

owlcoffee · Answer

$$\frac{ 2 }{ x }+\frac{ x }{ x+1 }+\frac{ x+1 }{ 3x }$$
The "mcm" of this whole sum are all the not-repeated expressions, those being "x" , "3" and "x+1", therefore:
$$mcm=(x)(x+1)(3)$$
All you have to do is operate that succesive multiplication and you'll obtain the least common factor of the sum of all those fractions.

anonymous · Answer

Is it 3x+1?

owlcoffee · Answer

That's incorrect, note that there is an "x" multiplying the expression (x+1).

anonymous · Answer

3x(x + 1)?

owlcoffee · Answer

Correct.

anonymous · Answer

Thank you! Do you know the other one?

owlcoffee · Answer

Yes, but the question is if you know it.

owlcoffee · Answer

@misty1212 can explain it to you in simple terms.

anonymous · Answer

Would it be −2x2 + x + 6?

owlcoffee · Answer

Could you show me how'd you work it out?