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.