# Elementary Math – John is building a patio. Each section requires 2/3 of a cubic yard of concrete.?

… The concrete truck holds two and 1/4 cubic yards of concrete. If there is not enough for a full section at the end, John can put in a divider and make a partial section. How many sections can John makes with the concrete in the truck?

It is three sections

4 1/2 sections:

2 1/4 divided by 2/3

I never prefer mix fractions so lets write two 1/4 as [(2*4)+1]/4 = 9/4

Now, we simply have to divide total available cubuc yards of concrete by the amount needed for a single sections

so number of sections = (9/4) / (2/3)

= 9/4 * 3/2 = 27/8

We can change this back to a mix fraction three 3/8

So John can make three full sections and 1 partial section, 3/8 th of a section

No. of sections = 2¼ / ⅔

No. of sections :-

9/4

——

2/3

27

—–

8

No. of complete sections = 3