Question
Mrs. Rush ate 1/3 of Brian's left-over birthday cake. If there was 3/5 left over, then how much birthday cake did she eat?
Answers
GPT-4o mini
To find out how much of the birthday cake Mrs. Rush ate, we need to calculate \( \frac{1}{3} \) of the remaining cake, which is \( \frac{3}{5} \).
To perform this calculation, we multiply \( \frac{1}{3} \) by \( \frac{3}{5} \):
\[
\text{Amount of cake eaten} = \frac{1}{3} \times \frac{3}{5}
\]
Now, we multiply the numerators and the denominators:
\[
= \frac{1 \times 3}{3 \times 5} = \frac{3}{15}
\]
Next, we simplify \( \frac{3}{15} \):
\[
\frac{3}{15} = \frac{1}{5}
\]
Thus, Mrs. Rush ate \( \frac{1}{5} \) of the entire birthday cake.
So the final answer is that Mrs. Rush ate \( \frac{1}{5} \) of the birthday cake.
To perform this calculation, we multiply \( \frac{1}{3} \) by \( \frac{3}{5} \):
\[
\text{Amount of cake eaten} = \frac{1}{3} \times \frac{3}{5}
\]
Now, we multiply the numerators and the denominators:
\[
= \frac{1 \times 3}{3 \times 5} = \frac{3}{15}
\]
Next, we simplify \( \frac{3}{15} \):
\[
\frac{3}{15} = \frac{1}{5}
\]
Thus, Mrs. Rush ate \( \frac{1}{5} \) of the entire birthday cake.
So the final answer is that Mrs. Rush ate \( \frac{1}{5} \) of the birthday cake.