Question

Simplify completely quantity 4 x plus 16 over 6.

2 open parentheses x plus 4 close parentheses over 3
2 open parentheses x plus 8 close parentheses over 3
4 open parentheses x plus 2 close parentheses over 3
4 open parentheses x plus 8 close parentheses over 3

Answer 1

$\cfrac{4x+16}{6} = \cfrac{4(x+4)}{6} = \cfrac{2(x+4)}{3}$

Answer 2

You are given the quantity 4 x plus 16 over 6 that is

$\dfrac{4x+16}{6}.$

1. Note that numerator 4x+16 consists of two terms 4x and 16 that have common factor 4, then

$4=4\cdot 1,\ 16=4\cdot 4$

and

$4x+16=4(x+4).$

2. Since $6=2\cdot 3,$ then

$\dfrac{4x+16}{6}=\dfrac{4(x+4)}{2\cdot 3}=\dfrac{2(x+4)}{3}.$

You get 2 open parentheses x plus 4 close parentheses over 3.

Answer: correct choice is 1