Ivan and Javier manipulated the rational expression

6

x

+

4

12

x

+

4

12x+4

6x+4



start fraction, 6, x, plus, 4, divided by, 12, x, plus, 4, end fraction. Their responses are shown below.

Ivan Javier

3

x

+

2

6

x

+

2

6x+2

3x+2



start fraction, 3, x, plus, 2, divided by, 6, x, plus, 2, end fraction

6

x

12

x

12x

6x



start fraction, 6, x, divided by, 12, x, end fraction

Which student wrote an expression that is equivalent to the original expression?