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

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 $\frac{1}{4}$ of the cake, then how much of the chocolate cake is left?

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 $\frac{3}{8}$ of the cake remains.
• Jorge eats $\frac{1}{4}$ of the entire original cake.

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

$\frac{1}{4} = \frac{2}{8}$ 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 $\frac{2}{8}$ of the cake.

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

$\frac{3}{8} - \frac{2}{8} = \frac{1}{8}$

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

$\frac{1}{8}$.