Question

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?

Answer 1

Javier wrote an expression that is equivalent to the original expression.

Step-by-step explanation:

To determine which student wrote an expression that is equivalent to the original expression, we need to simplify the expressions and compare them.

Ivan simplified the expression to (3x + 2)/(6x + 2).

Javier simplified the expression to (6x)/(12x).

To compare these expressions, we can simplify them further by dividing both the numerator and denominator by their greatest common divisor.

Ivan's expression can be simplified to (3x + 2)/(6x + 2), which cannot be simplified further.

Javier's expression can be simplified to 1/2.

Therefore, Javier wrote an expression that is equivalent to the original expression.

Answer 2

Answer:only Ivan

Step-by-step explanation: