7.RP. A.1 3. If 1 1/2 cups of something fills 2/3 of a container, how many cups fill the container?

Hi there!

Your answer is:

2 & 1/4 OR 2.25 cups fills the container!

Step-by-step explanation:

If 1 & 1/2 (aka 3/2) fills 2/3 of the container, then:

we know that half of 3/2s fills 1/3 of the container

To find half of 3/2, we multiply 3/2 by the inverse of 2, which is 1/2.

3/2÷2

3/2×1/2 = 3/4 ths

Now that we know 3/4ths fills 1/3 of the container, we add that to 1& 1/2.

3/4+ 1&1/2 = 2 & 1/4

Check your work!

3/4 × 3 should equal 2&1/4 if we are correct

3/4 × 3/1 = 9/4.

Simplify!

9/4 = 2&1/4

That tells us that we are correct!

Hope this helps!

step-by-step explanation: