Answer:
Hi there!
Your answer is:
2 & 1/4 OR 2.25 cups fills the container!
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!