Calculate Remaining Fraction: 1/4 Eaten from 3/8 of a Chocolate Cake

Question

A chocolate cake is divided into 8 equal slices.

When Jorge goes to try the cake, he sees that only 3 slices are left.

If Jorge eats 14 \frac{1}{4} of the cake, then how much of the chocolate cake is left?

Step-by-Step Solution

To solve this problem, we need to determine how much of the cake is left after Jorge consumes part of it. We know the following:

  • The cake initially has 8 slices, with only 3 slices left, meaning 38\frac{3}{8} of the cake remains.
  • Jorge eats 14\frac{1}{4} of the entire original cake.

We need to find 14\frac{1}{4} in terms of eighths to subtract it from 38\frac{3}{8}:

14=28\frac{1}{4} = \frac{2}{8} since multiplying both the numerator and the denominator by 2 converts it.

Thus, the amount of cake Jorge eats from the original amount available is equivalent to 28\frac{2}{8} of the cake.

Now, we perform the subtraction to find the remaining portion of the cake:

3828=18\frac{3}{8} - \frac{2}{8} = \frac{1}{8}

Therefore, the amount of cake left after Jorge eats his portion is 18\frac{1}{8} of the original cake. Thus, the final solution is:

18 \frac{1}{8} .

Answer

18 \frac{1}{8}