Anna baked a oake and ate \( 2 / 5 \) of if. Her sister then ate \( 8 / 4 \) of the remaining cake. How much of the whole cake tid her sister eat.

To find out how much of the whole cake her sister ate, we need to calculate the fraction of the cake that her sister ate. Given: - Anna ate \( \frac{2}{5} \) of the cake. - Her sister ate \( \frac{8}{4} \) of the remaining cake. First, let's calculate the fraction of the cake that Anna ate: \[ \text{Anna's share} = \frac{2}{5} \] Next, we need to find the fraction of the cake that her sister ate. Since her sister ate \( \frac{8}{4} \) of the remaining cake, we can calculate this as follows: \[ \text{Sister's share} = \frac{8}{4} \times \left(1 - \frac{2}{5}\right) \] Now, let's calculate the fraction of the whole cake that her sister ate. Calculate the value by following steps: - step0: Calculate: \(\frac{8}{4}\left(1-\frac{2}{5}\right)\) - step1: Subtract the numbers: \(\frac{8}{4}\times \frac{3}{5}\) - step2: Divide the terms: \(2\times \frac{3}{5}\) - step3: Multiply: \(\frac{2\times 3}{5}\) - step4: Multiply: \(\frac{6}{5}\) Her sister ate \( \frac{6}{5} \) or \( 1\frac{1}{5} \) or 1.2 of the whole cake.