Fractions can indeed be tricky, but with practice, you'll get the hang of them! Let’s start by breaking them down into a few simple concepts and methods.

Key Concepts:

1. Numerator and Denominator: In a fraction like $\frac{3}{4}$, the top number (3) is the numerator, representing how many parts we have. The bottom number (4) is the denominator, representing the total number of parts.

2. Equivalent Fractions: Fractions that look different but are actually the same. For example, $\frac{1}{2}$ is equivalent to $\frac{2}{4}$, because $1 \div 2 = 2 \div 4$.

3. Adding/Subtracting Fractions: To add or subtract fractions, you need a common denominator. For instance: $\frac{1}{3} + \frac{1}{6} = \frac{2}{6} + \frac{1}{6} = \frac{3}{6} = \frac{1}{2}$ Here, we converted $\frac{1}{3}$ to $\frac{2}{6}$ so both fractions have the same denominator.

4. Multiplying Fractions: Multiply the numerators and denominators: $\frac{2}{3} \times \frac{4}{5} = \frac{2 \times 4}{3 \times 5} = \frac{8}{15}$

5. Dividing Fractions: Flip the second fraction and multiply: $\frac{2}{3} \div \frac{4}{5} = \frac{2}{3} \times \frac{5}{4} = \frac{10}{12} = \frac{5}{6}$

Want more details on any of these concepts or examples?

Here are 5 questions to expand your understanding:

1. What is $\frac{3}{4} + \frac{5}{8}$? (hint: find a common denominator).
2. How do you simplify $\frac{18}{24}$?
3. What is $\frac{7}{8} \times \frac{2}{3}$?
4. How do you subtract $\frac{5}{6} - \frac{1}{4}$?
5. How do you divide $\frac{3}{5} \div \frac{9}{10}$?

Tip: Always simplify your fractions by dividing both the numerator and denominator by their greatest common divisor (GCD)!