Question

Three fourths of a spinach casserole is leftover after sam has lunch. Jackie and Alice each take 1/2 of the leftover casserole. Jackie eats only 2/3 of her portion what fraction of a whole casserole did Jackie eat ?

Answer 1

Jackie ate 1/8 of a whole casserole

Explanation:

We can solve this problem by first finding the total fraction of the casserole that was leftover after Sam had lunch. Since 3/4 of the casserole was leftover, the total fraction of the casserole that was leftover is 3/4.

Then, we can find the fraction of the casserole that Jackie and Alice each took by dividing the total fraction by the number of people who took some of the casserole. Since Jackie and Alice each took 1/2 of the leftover casserole, the fraction of the casserole that each of them took is (3/4) / 2 = 3/8.

Finally, we can find the fraction of the casserole that Jackie ate by multiplying the fraction of the casserole that Jackie took by the fraction of that portion that she ate. Since Jackie ate 2/3 of her portion, the fraction of the casserole that she ate is (3/8) * (2/3) = 1/8.

Therefore, Jackie ate 1/8 of a whole casserole.