It seems the image contains several mathematical expressions asking to "divide the following fractions." I'll go through each of them to solve.

1. $\frac{1}{2} \div \frac{1}{4}$

To divide fractions, multiply the first fraction by the reciprocal of the second:

$\frac{1}{2} \div \frac{1}{4} = \frac{1}{2} \times \frac{4}{1} = \frac{1 \times 4}{2 \times 1} = \frac{4}{2} = 2$

2. $\frac{2}{3} \div \frac{1}{2}$

Again, multiply by the reciprocal:

$\frac{2}{3} \div \frac{1}{2} = \frac{2}{3} \times \frac{2}{1} = \frac{2 \times 2}{3 \times 1} = \frac{4}{3}$ This is already in its simplest form.

3. $\frac{3}{3} \div \frac{4}{3}$

$\frac{3}{3} \div \frac{4}{3} = \frac{3}{3} \times \frac{3}{4} = \frac{3 \times 3}{3 \times 4} = \frac{9}{12} = \frac{3}{4}$

4. $\frac{3}{7} \div \frac{3}{4}$

$\frac{3}{7} \div \frac{3}{4} = \frac{3}{7} \times \frac{4}{3} = \frac{3 \times 4}{7 \times 3} = \frac{12}{21} = \frac{4}{7}$

5. $\frac{1}{3} \div \frac{3}{2}$

$\frac{1}{3} \div \frac{3}{2} = \frac{1}{3} \times \frac{2}{3} = \frac{1 \times 2}{3 \times 3} = \frac{2}{9}$

Here are the results for each:

1. $\frac{1}{2} \div \frac{1}{4} = 2$
2. $\frac{2}{3} \div \frac{1}{2} = \frac{4}{3}$
3. $\frac{3}{3} \div \frac{4}{3} = \frac{3}{4}$
4. $\frac{3}{7} \div \frac{3}{4} = \frac{4}{7}$
5. $\frac{1}{3} \div \frac{3}{2} = \frac{2}{9}$

Do you want more details or have any questions?

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