Question

serious simplifying complex fractions here!!

3 2
--- + ---
x x+2v
------------------
3 2
---- - ----
x+2 x

Answer 1

scratch that random v

Answer 2

yes, I knew that !!

Answer 3

\(\Huge\color{black}{ \frac{\frac{3}{x} + \frac{2}{x+2} }{\frac{3}{x+2} + \frac{2}{x} } }\) like this ?

Answer 4

yes

Answer 5

\(\Huge\color{black}{ \frac{\frac{3\color{darkgoldenrod}{\times (x+2)}}{x\color{darkgoldenrod}{\times (x+2)}} + \frac{2\color{darkgoldenrod}{\times x}}{(x+2)\color{darkgoldenrod}{\times x}} }{\frac{3\color{darkgoldenrod}{\times x}}{(x+2)\color{darkgoldenrod}{\times x}} + \frac{2\color{darkgoldenrod}{\times (x+2)}}{x\color{darkgoldenrod}{\times (x+2)}} } }\)

Answer 6

can you tell me WHY am I doing this ?

Answer 7

common denominator

Answer 8

yes common denominator, tell me what you get after multiplying ad adding the fractions on top and bottom, please.

Answer 9

\[5x+6 \over x(x+2)\]

Answer 10

\[5x+4 \over x(x+2)\]

Answer 11

Yes, the first one is the numerator, and the second is the denominator.

Answer 12

\(\Huge\color{black}{ \frac{\frac{5x+6}{(x(x+2)} }{\frac{5x+4}{x(x+2)}} }\) is the same thing as,



\(\LARGE\color{black}{\frac{5x+6}{(x(x+2)} \div\frac{5x+4}{x(x+2)} }\)


and knowing that \(\LARGE\color{black}{\frac{A}{B} \div\frac{C}{D}=\frac{A}{B} \times\frac{D}{C} }\)

can you tell me, what cancels out ?

Answer 13

x(x+2)

Answer 14

GOod ! And your answer is ?

Answer 15

\[5x+6 \over 5x+4\]

Answer 16

Yup :)

Answer 17

thank you!

Answer 18

Anytime !