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I see that you've uploaded an image of two math problems. Let's address each problem one by one:

### Problem 1 (Question 13):
The question involves two pieces of duct lengths that need to be cut from stock that is 4 ft long:
- Required duct lengths: \( 2 \frac{3}{4} \) ft and \( 1 \frac{3}{16} \) ft.
- Stock length: 4 ft.
- You are asked to find out how much excess will be left after cutting these two pieces.

Let's break it down:
1. Convert the mixed numbers to improper fractions:
   \[
   2 \frac{3}{4} = \frac{11}{4}, \quad 1 \frac{3}{16} = \frac{19}{16}
   \]
2. Find the sum of these two lengths:
   \[
   \frac{11}{4} + \frac{19}{16}
   \]
   Convert both fractions to have the same denominator (LCD is 16):
   \[
   \frac{11}{4} = \frac{44}{16}, \quad \frac{44}{16} + \frac{19}{16} = \frac{63}{16}
   \]
3. The stock length is 4 ft, which can be written as:
   \[
   4 = \frac{64}{16}
   \]
4. Subtract the total duct length from the stock length:
   \[
   \frac{64}{16} - \frac{63}{16} = \frac{1}{16}
   \]
   So, the excess length is **\(\frac{1}{16}\) ft**.

### Problem 2 (Question 14):
For this geometric figure, you are asked to find the missing dimension. 

- The figure shows a rectangular shape with dimensions involving fractions and a missing height.
- The width is given as \( 2 \frac{5}{16} \) inches.
- The problem asks for the length of the missing dimension in inches.

Let me know if you'd like a further breakdown of the second problem or additional clarifications.

Would you like more details on any step? 

Here are five related questions that expand on this topic:
1. How do you add fractions with different denominators?
2. How do you convert mixed numbers to improper fractions?
3. What is the difference between improper fractions and mixed numbers?
4. How can you visualize the process of subtracting one fraction from another?
5. How do you apply fractions in practical, real-life measurements like duct cutting?

**Tip:** When working with mixed numbers in word problems, always convert them to improper fractions before performing operations.

The user is asked to solve a math problem involving duct lengths and geometry. Problem 1 requires finding the excess duct length after cutting two specified lengths from a 4-foot stock. Problem 2 involves finding the missing dimension in a rectangle with fractional dimensions.

Learn how to solve problems involving duct lengths with mixed numbers and fractions. This problem covers the concepts of converting mixed numbers to improper fractions, adding and subtracting fractions, and solving for the missing dimensions in a rectangular figure with fractional values.

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