Question

Simplify the complex fraction.

4/(x+3)/(1/x+3)

A. 12x+4/x^2+3x
B. 4x/3x+9
C. 4x/3x^2+10x+3
D. None of these

Answer 1

more brackets are required to avoid ambiguity

Answer 2

\[\frac{\frac{4}{x+3}}{\frac{1}{x+3}}=\frac{4}{x+3}\times \frac{x+3}{1}=4\]

Answer 3

so it's D?

Answer 4

\[4/(x+3)/(1/x+3)=\frac{4}{x+3}/\left(\frac{1}{x}+3\right)=\frac{4}{\left(\frac{1}{x}+3\right) (x+3)}=\frac{4 x}{3 x^2+10 x+3} \]

Answer 5

C:

Answer 6

@jaydemarie4,

note that satellite73, and robtobey got different answers because the question as written is ambiguous

Answer 7

Not in this case because of the precedence rules. The first division sign from the left is applied first.

Mathematica stands by it's solution.

Answer 8

thanks!

Answer 9

You're welcome.