https://file.aiquickdraw.com/mathbot/file/17261920056495r86ozx1.jpg

Let's solve each expression from the image step by step.

### 1. \( \frac{4}{11} \div \frac{3}{2} \)
- Division of fractions: \( \frac{4}{11} \times \frac{2}{3} \)
- Multiply numerators: \( 4 \times 2 = 8 \)
- Multiply denominators: \( 11 \times 3 = 33 \)
- Answer: \( \frac{8}{33} \)

### 2. \( \frac{4}{3} \div 1 \)
- Dividing by 1 leaves the fraction unchanged.
- Answer: \( \frac{4}{3} \)

### 3. \( 4 \div \frac{6}{5} \)
- Division of fractions: \( 4 \times \frac{5}{6} = \frac{4 \times 5}{6} = \frac{20}{6} \)
- Simplify \( \frac{20}{6} \): \( \frac{10}{3} \)
- Answer: \( \frac{10}{3} \)

### 4. \( 1 \div \frac{10}{3} \)
- Division of fractions: \( 1 \times \frac{3}{10} = \frac{3}{10} \)
- Answer: \( \frac{3}{10} \)

### 5. \( \frac{5}{7} \div \frac{2}{3} \)
- Division of fractions: \( \frac{5}{7} \times \frac{3}{2} = \frac{5 \times 3}{7 \times 2} = \frac{15}{14} \)
- Answer: \( \frac{15}{14} \)

### 6. \( 1 \div \frac{3}{7} \)
- Division of fractions: \( 1 \times \frac{7}{3} = \frac{7}{3} \)
- Answer: \( \frac{7}{3} \)

Let me know if you need more details or assistance with further problems! Here's a set of related questions to think about:

1. How do you simplify complex fractions involving both division and multiplication?
2. Why does dividing by a fraction flip the fraction (reciprocal)?
3. How can mixed numbers be converted into improper fractions for easier computation?
4. What are the general steps for simplifying fractions after operations like multiplication or division?
5. How does dividing by 1 affect the value of fractions?

**Tip:** Always remember to simplify fractions after performing operations like multiplication or division to get the final result in the simplest form.

Solve various fraction division and multiplication problems from the image, including operations such as \( \frac{4}{11} \div \frac{3}{2} \), \( \frac{5}{7} \div \frac{2}{3} \), and similar problems.

This page provides step-by-step solutions to problems involving the division and multiplication of fractions. Learn how to simplify expressions like \( \frac{4}{11} \div \frac{3}{2} \) and more. Suitable for middle school students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation