Question

roberto is at a tennis day camp. the coach has set aside 2 hours to play mini matches that last \\(\frac{3}{5}\\) hour. find \\(2 \div \frac{3}{5}\\). then interpret the quotient.

Explanation:

Step1: Convert division to multiplication

$2 \div \frac{3}{5} = 2 \times \frac{5}{3}$

Step2: Calculate the product

$2 \times \frac{5}{3} = \frac{10}{3} \approx 3.33$

Step3: Interpret the quotient

Total time is 2 hours, each mini match takes $\frac{3}{5}$ hour. The quotient means ~3 full matches can be played (since partial matches don’t count, 3 matches use $3 \times \frac{3}{5} = \frac{9}{5} = 1.8$ hours, leaving 0.2 hours which is less than $\frac{3}{5}$ hour).

Answer:

$\frac{10}{3}$ (or approximately 3.33). The quotient means Roberto can play 3 full mini matches in 2 hours (with a small remaining time not enough for another match).