Verified Answer :

He should use a 3x3 grid, so 9 squares in total. Mark should then shade in 6 of those 9 boxes. 6/9 = 2/3. He would have shaded in 66.666666% roughly.

Answer:

66 + 1 ( not fully shaded ) squares will be shaded.

66.67% region will be shaded

Step-by-step explanation:

It is given that Marks uses a grid to model percent equivalent of \(\frac{2}{3}\).

Let us assume that Mark uses a model containing 100 grids.

Now, as the grids are divided into region equivalent to \(\frac{2}{3}\) i.e. it is divided into 3 parts.

Moreover, 2 out of those 3 parts will be shaded.

As, \(\frac{2}{3} =0.6667\)

i.e. \(\frac{2}{3}\)=66.67%

So, it gives us that 66 squares in the grid will be fully shaded and one will not be fully shaded.

Hence, 66 + 1 ( not fully shaded ) squares will be shaded and in percent, 66.67% of the region will be shaded.