To determine how many pounds of peaches William uses for each pie, we need to divide the total amount of peaches by the number of pies. William has $1 \frac{7}{8}$ pounds of peaches in total, and he makes 3 pies. Let's break this problem into steps:

Step 1: Convert the mixed number to an improper fraction.

The total weight of peaches is given as $1 \frac{7}{8}$ pounds. To convert this mixed number to an improper fraction: $1 \frac{7}{8} = \frac{8 \times 1 + 7}{8} = \frac{15}{8}$

Step 2: Divide the total weight by 3 pies.

Now, we need to divide the total weight of peaches by 3: $\frac{15}{8} \div 3 = \frac{15}{8} \times \frac{1}{3} = \frac{15}{24}$

Step 3: Simplify the fraction.

Simplify $\frac{15}{24}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 3: $\frac{15}{24} = \frac{5}{8}$

So, each pie contains $\frac{5}{8}$ pounds of peaches.

Would you like further details or explanations?

Here are 5 related questions:

1. How would you divide peaches if the weight was given as a decimal instead of a fraction?
2. How can you convert improper fractions back to mixed numbers?
3. What if William wanted to make 4 pies instead of 3? How much would be in each pie?
4. How do you add or subtract mixed numbers in other pie-making scenarios?
5. How do you find the greatest common divisor for fraction simplifications?

Tip: Always simplify fractions by finding the greatest common divisor to make calculations easier.