To solve the problem of how many laps Keyaree swims per minute, let's break down the given information and go through the steps logically.
1. Understand the Given Information:
- Keyaree completes [tex]\(3 \frac{2}{5}\)[/tex] laps every 4 minutes.
2. Convert the Mixed Number to a Fraction:
- [tex]\(3 \frac{2}{5}\)[/tex] can be converted to an improper fraction.
- [tex]\(3 \frac{2}{5} = 3 + \frac{2}{5}\)[/tex]
- To have a common format, convert 3 to a fraction with the same denominator: [tex]\(3 = \frac{15}{5}\)[/tex]
- Adding these gives: [tex]\(\frac{15}{5} + \frac{2}{5} = \frac{17}{5}\)[/tex]
3. Calculate Laps Per Minute:
- We know Keyaree swims [tex]\(\frac{17}{5}\)[/tex] laps in 4 minutes.
- To find the number of laps per minute, we divide the total laps by the total minutes.
- Laps per minute = [tex]\(\frac{\frac{17}{5}}{4}\)[/tex]
4. Simplify the Division:
- Dividing by 4 is the same as multiplying by [tex]\(\frac{1}{4}\)[/tex].
- So, [tex]\(\frac{\frac{17}{5}}{4} = \frac{17}{5} \times \frac{1}{4} = \frac{17}{20}\)[/tex]
5. Convert the Fraction Back to a Decimal if Desired:
- The fraction [tex]\(\frac{17}{20}\)[/tex] can be converted to a decimal by dividing 17 by 20.
- [tex]\( \frac{17}{20} = 0.85 \)[/tex]
Therefore, Keyaree swims [tex]\( \frac{17}{20} \)[/tex] laps or 0.85 laps per minute.
