To find the total length Sven swims, we first need to calculate the total distance for 5 laps in a pool that is \(11\frac{1}{3}\) yards long.
-
Convert \(11\frac{1}{3}\) into an improper fraction: \[ 11\frac{1}{3} = 11 + \frac{1}{3} = \frac{33}{3} + \frac{1}{3} = \frac{34}{3} \text{ yards} \]
-
Multiply the length of one lap by the number of laps (5): \[ \text{Total length} = 5 \times \frac{34}{3} = \frac{170}{3} \text{ yards} \]
-
Convert \(\frac{170}{3}\) into a mixed number:
- Divide 170 by 3: \[ 170 \div 3 = 56 \text{ R } 2 \] So, 170 can be expressed as: \[ 170 = 56 \times 3 + 2 \] Thus, \[ \frac{170}{3} = 56\frac{2}{3} \]
The total length Sven swims is \( \boxed{56\frac{2}{3}} \) yards.
1 answer