https://file.aiquickdraw.com/mathbot/file/1729645769860mvnkxa5g.jpg

The problem shown in the image is:

\[
\frac{3 \frac{1}{7}}{\div} \frac{1 \frac{3}{7}}
\]

To divide these mixed numbers, let's convert them to improper fractions first:

1. **Convert \( 3 \frac{1}{7} \) to an improper fraction:**
   - \( 3 \frac{1}{7} = \frac{(3 \times 7) + 1}{7} = \frac{21 + 1}{7} = \frac{22}{7} \)

2. **Convert \( 1 \frac{3}{7} \) to an improper fraction:**
   - \( 1 \frac{3}{7} = \frac{(1 \times 7) + 3}{7} = \frac{7 + 3}{7} = \frac{10}{7} \)

The problem now is:

\[
\frac{22}{7} \div \frac{10}{7}
\]

### Division of Fractions
When dividing by a fraction, you multiply by its reciprocal:

\[
\frac{22}{7} \div \frac{10}{7} = \frac{22}{7} \times \frac{7}{10}
\]

Now, multiply the numerators and denominators:

\[
\frac{22 \times 7}{7 \times 10} = \frac{154}{70}
\]

### Simplification
To simplify \(\frac{154}{70}\), find the greatest common divisor (GCD) of 154 and 70, which is 14:

\[
\frac{154 \div 14}{70 \div 14} = \frac{11}{5}
\]

### Final Answer
The simplified result is:

\[
\frac{11}{5} \quad \text{or as a mixed number: } 2 \frac{1}{5}
\]

Would you like more details or have any questions?

---

Here are five related questions to explore further:

1. How do you convert improper fractions back to mixed numbers?
2. What is the process of multiplying and dividing fractions?
3. How can you simplify fractions more effectively?
4. What are the rules for operations with mixed numbers?
5. How do you find the reciprocal of a fraction, and why is it useful?

**Tip:** When dividing fractions, remember: "Divide by flipping and multiplying!" That is, flip the second fraction (reciprocal) and then multiply.

Learn how to divide mixed numbers like 3 1/7 ÷ 1 3/7 by converting them to improper fractions and applying the reciprocal rule. This solution is perfect for students in Grades 6-8, with a step-by-step breakdown for better understanding.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation