https://file.aiquickdraw.com/mathbot/file/1727274737030i4nn3wwc.jpg

I see the image contains several math problems under **Exercise 4.6**. Let's work through them one by one.

### 1. If a car travels 283 ½ km in 4 ⅔ hours, how far does it go in 1 hour?
- The total distance is \( 283 \frac{1}{2} \) km and the time is \( 4 \frac{2}{3} \) hours. 
- First, convert the mixed numbers to improper fractions:
  - \( 283 \frac{1}{2} = \frac{567}{2} \)
  - \( 4 \frac{2}{3} = \frac{14}{3} \)
- To find the distance per hour, divide the total distance by the time:
  \[
  \text{Distance per hour} = \frac{\frac{567}{2}}{\frac{14}{3}} = \frac{567}{2} \times \frac{3}{14} = \frac{1701}{28} = 60.75 \text{ km}.
  \]
  So, the car travels **60.75 km per hour**.

### 2. A boy exercises for a total of 5 ⅓ hours over 4 days. Find the number of hours he exercises each day.
- Convert the mixed number:
  \[
  5 \frac{1}{3} = \frac{16}{3} \text{ hours}.
  \]
- To find the time per day, divide by 4:
  \[
  \text{Time per day} = \frac{\frac{16}{3}}{4} = \frac{16}{3} \times \frac{1}{4} = \frac{16}{12} = \frac{4}{3} = 1 \frac{1}{3} \text{ hours}.
  \]
  So, the boy exercises **1 ⅓ hours per day**.

### 3. A set of 8 ribbons costs Rs 360 1/5. What is the cost of 1 ribbon?
- Convert the mixed number:
  \[
  360 \frac{1}{5} = \frac{1801}{5}.
  \]
- To find the cost of one ribbon, divide by 8:
  \[
  \text{Cost per ribbon} = \frac{\frac{1801}{5}}{8} = \frac{1801}{40} = 45.025 \text{ Rs}.
  \]
  So, the cost of one ribbon is approximately **Rs 45.03**.

### 4. Two girls eat 10/11 of a pizza. What part of the pizza did each girl eat?
- If two girls eat \( \frac{10}{11} \) of a pizza, the amount each girl eats is:
  \[
  \text{Amount per girl} = \frac{\frac{10}{11}}{2} = \frac{10}{22} = \frac{5}{11}.
  \]
  Each girl ate **5/11 of the pizza**.

### 5. A man walks 6 ⅓ km in 1 hour. How far will he walk in 3 ½ hours?
- Convert the mixed numbers:
  - \( 6 \frac{1}{3} = \frac{19}{3} \)
  - \( 3 \frac{1}{2} = \frac{7}{2} \)
- Multiply the distance per hour by the time:
  \[
  \text{Total distance} = \frac{19}{3} \times \frac{7}{2} = \frac{133}{6} = 22 \frac{1}{6} \text{ km}.
  \]
  So, the man will walk **22 ⅙ km**.

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Would you like further clarification on any of these solutions?

Here are some related questions:
1. How do you simplify division involving mixed fractions?
2. What are some other real-world examples of dividing distances by time?
3. Can we express division of fractions in terms of multiplication of reciprocals?
4. How would changes in speed affect the answer to the first problem?
5. How would you convert the answers to decimal form?

**Tip:** When dividing fractions, it's often easier to multiply by the reciprocal (flip the second fraction).

The image contains five math problems involving fractions, mixed numbers, and real-life scenarios (distance, cost, time, and fractions of a whole). The specific problems are:
1. If a car travels 283 ½ km in 4 ⅔ hours, how far does it go in 1 hour?
2. A boy exercises for a total of 5 ⅓ hours over 4 days. Find the number of hours he exercises each day.
3. A set of 8 ribbons costs Rs 360 1/5. What is the cost of 1 ribbon?
4. Two girls eat 10/11 of a pizza. What part of the pizza did each girl eat?
5. A man walks 6 ⅓ km in 1 hour. How far will he walk in 3 ½ hours?

Learn how to solve problems involving fractions, time, distance, and cost. Problems include calculating car travel time, cost of ribbons, pizza sharing, and distance covered over time. Suitable for students in Grades 6-7.

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