The image presents three division problems involving fractions and mixed numbers. We need to solve each of these problems. (2) $\frac{9}{5} \div \frac{7}{4}$ (4) $\frac{21}{16} \div \frac{9}{20}$ (6) $2\frac{3}{8} \div \frac{5}{6}$

1. Problem Description

The image presents three division problems involving fractions and mixed numbers. We need to solve each of these problems.

(2) $\frac{9}{5} \div \frac{7}{4}$

(4) $\frac{21}{16} \div \frac{9}{20}$

(6) $2\frac{3}{8} \div \frac{5}{6}$

2. Solution Steps

(2) To divide fractions, we multiply by the reciprocal of the divisor:

$\frac{9}{5} \div \frac{7}{4} = \frac{9}{5} \times \frac{4}{7} = \frac{9 \times 4}{5 \times 7} = \frac{36}{35}$

(4) To divide fractions, we multiply by the reciprocal of the divisor:

$\frac{21}{16} \div \frac{9}{20} = \frac{21}{16} \times \frac{20}{9}$

We can simplify before multiplying:

$\frac{21}{16} \times \frac{20}{9} = \frac{7 \times 3}{4 \times 4} \times \frac{5 \times 4}{3 \times 3} = \frac{7}{4} \times \frac{5}{3} = \frac{7 \times 5}{4 \times 3} = \frac{35}{12}$

(6) First, convert the mixed number to an improper fraction:

$2\frac{3}{8} = \frac{2 \times 8 + 3}{8} = \frac{16 + 3}{8} = \frac{19}{8}$

Now, divide:

$\frac{19}{8} \div \frac{5}{6} = \frac{19}{8} \times \frac{6}{5} = \frac{19}{4 \times 2} \times \frac{3 \times 2}{5} = \frac{19}{4} \times \frac{3}{5} = \frac{19 \times 3}{4 \times 5} = \frac{57}{20}$

3. Final Answer

(2) $\frac{36}{35}$

(4) $\frac{35}{12}$

(6) $\frac{57}{20}$