Question

henlo, pls help
Simplify quantity x plus 3 over 9 all over quantity x plus 12 over 6 . (2 points)

open parentheses x plus 3 close parentheses open parentheses x plus 12 close parentheses over 6
2 open parentheses x plus 3 close parentheses over 3 open parentheses x plus 12 close parentheses
2 x over quantity x plus 12
1 over 6

Answer 1

Answer: B

Step-by-step explanation:

$\begin{array}{l}\frac{\frac{x+3}{9}}{\frac{x+12}{6}}\\\\=\frac{x+3}{9}\div\frac{x+12}{6}\\\\=\frac{x+3}{9}\cdot\frac{6}{x+12}\\\\=\frac{\left(x+3\right)6}{9\left(x+12\right)}\\\\=\frac{\left(x+3\right)2}{3\left(x+12\right)}\\\\=\frac{2x+6}{3x+36}\\\\=\frac{2\left(x+3\right)}{3\left(x+12\right)}\end{array}$

The answer you have chosen in the picture is correct