Let's focus on solving the problem presented in the image.

Problem:

Part (a) asks for the length of the tool in inches, and you've already correctly solved it as $10 \frac{1}{2} \text{ in}$.

Part (b) asks for the length of diameter $A$ in inches, which is currently left blank. The diameter $A$ is given as a sum of several fractional parts.

Calculation for Part (b):

• Diameter $A$ is made up of three dimensions: $1 \frac{3}{8}$ inches, $2 \frac{1}{4}$ inches, and $\frac{7}{16}$ inches.

Now, let's add these values together.

1. Convert mixed fractions to improper fractions:

   • $1 \frac{3}{8} = \frac{11}{8}$
   • $2 \frac{1}{4} = \frac{9}{4} = \frac{18}{8}$ (to have a common denominator)
   • $\frac{7}{16}$ stays as is.

2. Convert all fractions to a common denominator (16):

   • $\frac{11}{8} = \frac{22}{16}$
   • $\frac{18}{8} = \frac{36}{16}$
   • $\frac{7}{16}$ stays the same.

3. Add the fractions: $\frac{22}{16} + \frac{36}{16} + \frac{7}{16} = \frac{65}{16}$

4. Simplify the improper fraction: $\frac{65}{16} = 4 \frac{1}{16}$

Therefore, the length of diameter $A$ is $4 \frac{1}{16} \text{ inches}$.

Would you like any further details or clarifications?

Here are 5 related questions:

1. How do you convert mixed numbers into improper fractions?
2. How do you find a common denominator for adding fractions?
3. What is the process to simplify improper fractions into mixed numbers?
4. How can we estimate values of fractions for quick addition without calculating?
5. What are practical applications of adding mixed fractions in real-life problems?

Tip: When adding fractions, always find the least common denominator to simplify calculations.