Question

Last week, Max ran 67 laps around the lake. Hayley ran 3/4 as many laps around the lake as Max did. How many laps around the lake did Hayley run?

Write your answer as a fraction or as a whole or mixed number.

Answer 1

To find out how many laps Hayley ran, we can calculate \( \frac{3}{4} \) of the number of laps Max ran.

Max ran 67 laps, so we need to calculate:

\[
\text{Laps Hayley ran} = \frac{3}{4} \times 67
\]

Calculating \( \frac{3}{4} \times 67 \):

\[
\frac{3 \times 67}{4} = \frac{201}{4}
\]

Next, we can convert \( \frac{201}{4} \) into a mixed number:

1. Divide 201 by 4 to find how many whole laps there are:
- \( 201 \div 4 = 50 \) remainder \( 1 \).
2. This means Hayley ran 50 whole laps and a remainder of \( 1 \) lap out of \( 4 \).

Thus, we can write this as:

\[
\frac{201}{4} = 50 \frac{1}{4}
\]

So, Hayley ran \( \frac{201}{4} \) laps or \( 50 \frac{1}{4} \) laps.

The final answer is:

\[
\frac{201}{4} \text{ or } 50 \frac{1}{4}
\]