https://file.aiquickdraw.com/mathbot/file/172701480359866rgxn6i.jpg

The image contains several math problems involving division of fractions. Let's work through these:

### Problem 6:
\[
\frac{2}{5} \div \frac{2}{3}
\]
To divide fractions, multiply by the reciprocal of the second fraction:
\[
\frac{2}{5} \times \frac{3}{2} = \frac{2 \times 3}{5 \times 2} = \frac{6}{10} = \frac{3}{5}
\]

### Problem 7:
\[
1 \frac{1}{5} \div 4
\]
First, convert the mixed number to an improper fraction:
\[
1 \frac{1}{5} = \frac{6}{5}
\]
Now divide:
\[
\frac{6}{5} \div 4 = \frac{6}{5} \times \frac{1}{4} = \frac{6}{20} = \frac{3}{10}
\]

### Problem 8:
\[
2 \div \frac{5}{4}
\]
Multiply by the reciprocal of \(\frac{5}{4}\):
\[
2 \times \frac{4}{5} = \frac{8}{5}
\]

### Problem 9:
\[
\frac{5}{6} \div \frac{2}{3}
\]
Multiply by the reciprocal of \(\frac{2}{3}\):
\[
\frac{5}{6} \times \frac{3}{2} = \frac{15}{12} = \frac{5}{4}
\]

### Problem 10:
\[
\frac{7}{2} \div \frac{4}{3}
\]
Multiply by the reciprocal of \(\frac{4}{3}\):
\[
\frac{7}{2} \times \frac{3}{4} = \frac{21}{8}
\]

If you'd like further clarifications or detailed steps, let me know!

### Relative Questions:
1. How do you convert a mixed number to an improper fraction?
2. Why do we multiply by the reciprocal when dividing fractions?
3. How can you simplify a fraction like \(\frac{6}{10}\) to \(\frac{3}{5}\)?
4. What is the difference between multiplying and dividing fractions?
5. How do you handle division with whole numbers and fractions?

### Tip:
Always simplify your final answers when working with fractions to make the solution easier to interpret.

Learn how to solve fraction division problems step-by-step. This guide explains how to divide fractions by multiplying by the reciprocal and simplifying the results. Suitable for students in Grades 6-8.

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