Quinten and his friends cut a peach pie into 6 equal slices and a cherry pie into 18 equal slices. They ate of the peach pie. If they ate the same fraction of the cherry pie, how many slices of the cherry pie did they eat?Responses1133669

3 answers

Quinten and his friends cut a peach pie into 6 equal slices and ate 4 out of the 6 slices.

First, we determine the fraction of the peach pie that they ate:

\[ \text{Fraction of peach pie eaten} = \frac{4}{6} = \frac{2}{3} \]

Next, we need to find out how many slices of cherry pie they ate given that they ate the same fraction of the cherry pie. The cherry pie was cut into 18 equal slices.

To find out how many slices correspond to \(\frac{2}{3}\) of the cherry pie, we calculate:

\[ \text{Slices of cherry pie eaten} = \frac{2}{3} \times 18 \]

Calculating that gives us:

\[ \frac{2}{3} \times 18 = \frac{36}{3} = 12 \]

Therefore, they ate 12 slices of the cherry pie.

Thus, the answer is 12.

1\6

It seems like you might be indicating a fraction. If you're looking to express something related to the pie scenario we discussed earlier or if there's a specific question about \( \frac{1}{6} \), could you please clarify your question or provide more context?

If you're trying to find out what \( \frac{1}{6} \) of the cherry pie would be, we can calculate that too:

The cherry pie has 18 slices. To find \( \frac{1}{6} \) of it:

\[ \frac{1}{6} \times 18 = \frac{18}{6} = 3 \]

So, \( \frac{1}{6} \) of the cherry pie would be 3 slices. Let me know if you need further assistance!