Question
Ricardo and George are comparing the number of hours they spent reading over the weekend. Ricardo spent 7 1/2 hours reading. George spent 2/5 of Ricardo's time reading.
How many hours did George spend reading over the weekend? Enter your answer as a whole number.
How many hours did George spend reading over the weekend? Enter your answer as a whole number.
Answers
GPT-4o mini
To find out how many hours George spent reading, we first need to calculate \( \frac{2}{5} \) of the time that Ricardo spent reading.
Ricardo spent \( 7 \frac{1}{2} \) hours reading. We can convert this mixed number into an improper fraction:
\[
7 \frac{1}{2} = 7 + \frac{1}{2} = \frac{14}{2} + \frac{1}{2} = \frac{15}{2}
\]
Now we can calculate \( \frac{2}{5} \) of \( \frac{15}{2} \):
\[
\text{George's time} = \frac{2}{5} \times \frac{15}{2}
\]
We can simplify this multiplication:
\[
\frac{2 \times 15}{5 \times 2} = \frac{30}{10} = 3
\]
Thus, George spent \( 3 \) hours reading over the weekend.
Therefore, the answer is:
\[
\boxed{3}
\]
Ricardo spent \( 7 \frac{1}{2} \) hours reading. We can convert this mixed number into an improper fraction:
\[
7 \frac{1}{2} = 7 + \frac{1}{2} = \frac{14}{2} + \frac{1}{2} = \frac{15}{2}
\]
Now we can calculate \( \frac{2}{5} \) of \( \frac{15}{2} \):
\[
\text{George's time} = \frac{2}{5} \times \frac{15}{2}
\]
We can simplify this multiplication:
\[
\frac{2 \times 15}{5 \times 2} = \frac{30}{10} = 3
\]
Thus, George spent \( 3 \) hours reading over the weekend.
Therefore, the answer is:
\[
\boxed{3}
\]