Randal swam for 4/5 as many hours as Henry.  Henry swam for 3/4 of an hour.  How many hours did Randal swim?

To find out how many hours Randal swam, we can set up the calculation based on the information provided:

1. Henry swam for \( \frac{3}{4} \) of an hour.
2. Randal swam for \( \frac{4}{5} \) as many hours as Henry.

Now, we calculate Randal's swimming time:

\[
\text{Randal's time} = \frac{4}{5} \times \frac{3}{4}
\]

Calculating this:

\[
\text{Randal's time} = \frac{4 \times 3}{5 \times 4} = \frac{12}{20} = \frac{3}{5}
\]

Thus, Randal swam for \( \frac{3}{5} \) of an hour. 

Would you like any further details or explanations? Here are some related questions you might consider:

1. How can we express Randal's swimming time in minutes?
2. If Henry swam for 1 hour, how many hours would Randal swim?
3. What is the total swimming time of both Randal and Henry combined?
4. How would Randal's swimming time change if he swam for half as long as Henry?
5. Can you find a similar problem involving different ratios? 

**Tip:** When working with fractions, multiplying the numerators and denominators separately can simplify the process.

Randal swam for 4/5 as many hours as Henry. Henry swam for 3/4 of an hour. How many hours did Randal swim?

Discover how to calculate the swimming time for Randal given that he swam for 4/5 as many hours as Henry, who swam for 3/4 of an hour. This problem illustrates key concepts of fractions and proportions. Ideal for students in Grades 5-7.

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