1. The problem is to understand and work with fractions. 2. A fraction represents a part of a whole and is written as $\frac{a}{b}$ where $a$ is the numerator and $b$ is the denominator, with $b \neq 0$. 3. Important rules for fractions: - To add or subtract fractions, they must have a common denominator. - To multiply fractions, multiply the numerators and denominators directly: $\frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}$. - To divide fractions, multiply by the reciprocal: $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{ad}{bc}$. 4. Example: Add $\frac{2}{3}$ and $\frac{1}{4}$. - Find common denominator: $12$. - Convert fractions: $\frac{2}{3} = \frac{8}{12}$ and $\frac{1}{4} = \frac{3}{12}$. - Add numerators: $8 + 3 = 11$. - Result: $\frac{11}{12}$. 5. Fractions can be simplified by dividing numerator and denominator by their greatest common divisor (GCD). 6. Understanding fractions is essential for algebra, ratios, and many areas of math.