Jack has $$ 10 \frac{2}{3} $$ yards of ribbon to make bows. Each bow is made from a piece of ribbon that is $$ \frac{3}{5} $$ yard long. What is the maximum number of complete bows Jack can make?

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To determine the maximum number of complete bows Jack can make, follow these steps:

1. **Convert Mixed Number to Improper Fraction:**
   Jack has $$ 10 \frac{2}{3} $$ yards of ribbon. Convert this to an improper fraction:
   $$
   10 \frac{2}{3} = \frac{(10 \times 3) + 2}{3} = \frac{32}{3} \text{ yards}
   $$

2. **Divide Total Ribbon by Ribbon per Bow:**
   Each bow requires $$ \frac{3}{5} $$ yard of ribbon. To find out how many bows Jack can make, divide the total ribbon by the ribbon needed for one bow:
   $$
   \frac{32}{3} \div \frac{3}{5} = \frac{32}{3} \times \frac{5}{3} = \frac{160}{9} \approx 17.78
   $$

3. **Determine the Maximum Complete Bows:**
   Since Jack can only make complete bows, we take the integer part of the result:
   $$
   \text{Maximum complete bows} = 17
   $$

**Answer:**  
17
Jack can make 17 complete bows.

Jack has yards of ribbon to make bows. Each bow is made from a piece of ribbon
that is yard long. What is the maximum number of complete bows Jack can make?

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Jack has yards of ribbon to make bows. Each bow is made from a piece of ribbon that is yard long. What is the maximum number of complete bows Jack can make?