Question

layla uses this model to show 2/6. refael uses this model to show 1/3. which statement best explains whether the models show that 2/6 and 1/3 are equivalent.

Answer 1

We can conclude that the correct option is the first one:

The models show that 2/6 is equivalent to 1/3 because both models have the same area shaded.

We can see that both shaded areas are the same, so 2/6 is equivalent to 1/3.

We can also do as follows, algebraically, to check this:

`(1)/(3)\cdot(2)/(2)=(2)/(6)`

(We can also see that both models do not have the same number of parts shaded: in the first case, we have 2 shaded parts of 6, and, in the second, 1 of 3.)

Therefore, the correct option is the first one (as described above).