Using Cuisenaire rods, what is the unit rod if the purple rod represents 2/3?

dark green is the unit rod 6/6

Please help me find the answer.

To determine the unit rod using Cuisenaire rods, you need to find the length that represents 1 whole unit.

Given that the purple rod represents 2/3, we need to find the value of the missing unit rod.

First, let's assume that the missing unit rod is represented by "x".

We know that the purple rod represents 2/3, so we can set up the following equation:

2/3 = x/1

To solve for x, we can cross-multiply:

2 * 1 = 3 * x

2 = 3x

Now, divide both sides of the equation by 3 to isolate x:

2/3 = x

So the missing unit rod is equal to 2/3. Therefore, the unit rod is 2/3 when the purple rod represents 2/3 in Cuisenaire rods.