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The image contains a few math problems involving unit conversions from yards to inches. Let's break them down and solve each step by step:

### 1. Converting 1 yard to inches:
- **1 yard** is equal to **36 inches** (since 1 yard = 36 inches).

So, the answer to this conversion is **36 inches**.

### 2. Converting \( \frac{5}{9} \) yard to inches:
- First, convert \( \frac{5}{9} \) yard to inches.
- \( \frac{5}{9} \times 36 = \frac{5 \times 36}{9} = \frac{180}{9} = 20 \) inches.

So, \( \frac{5}{9} \) yard is **20 inches**.

### 3. Converting \( 4 \frac{5}{6} \) yards to inches:
- First, convert the mixed number \( 4 \frac{5}{6} \) yards into an improper fraction.
  - \( 4 \frac{5}{6} = \frac{24}{6} + \frac{5}{6} = \frac{29}{6} \) yards.
- Now, convert to inches: 
  - \( \frac{29}{6} \times 36 = \frac{29 \times 36}{6} = \frac{1044}{6} = 174 \) inches.

So, \( 4 \frac{5}{6} \) yards is **174 inches**.

### Summary of Answers:
1. **1 yard = 36 inches**
2. **\( \frac{5}{9} \) yard = 20 inches**
3. **\( 4 \frac{5}{6} \) yards = 174 inches**

If you need more details or have any questions, feel free to ask!

Here are 5 related questions:
1. How do you convert feet to inches?
2. What is the formula for converting miles to yards?
3. How do you simplify fractions in unit conversions?
4. How can we convert inches back to yards?
5. What is the difference between improper fractions and mixed numbers?

**Tip:** When converting mixed numbers, always change them into improper fractions first for easier calculations.

Convert the following yards to inches: 1 yard, 5/9 yard, 4 5/6 yards.

Learn how to convert 1 yard, 5/9 yard, and 4 5/6 yards into inches. This problem involves unit conversion and fraction multiplication, and is suitable for students in Grades 4-6.

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