1. The problem is to understand and work with fractions suitable for class 5 students. 2. A fraction represents a part of a whole and is written as $\frac{a}{b}$ where $a$ is the numerator (part) and $b$ is the denominator (whole). 3. Important rules: - The denominator $b$ cannot be zero. - Fractions can be simplified by dividing numerator and denominator by their greatest common divisor (GCD). 4. Example: Simplify $\frac{8}{12}$. 5. Find GCD of 8 and 12, which is 4. 6. Divide numerator and denominator by 4: $$\frac{\cancel{8}^2}{\cancel{12}^3} = \frac{2}{3}$$ 7. So, $\frac{8}{12}$ simplifies to $\frac{2}{3}$. 8. Fractions can also be added, subtracted, multiplied, and divided using specific rules: - Addition/Subtraction: Find common denominator. - Multiplication: Multiply numerators and denominators. - Division: Multiply by reciprocal. 9. Example: Add $\frac{1}{4} + \frac{1}{6}$. 10. Find common denominator: 12. 11. Convert fractions: $$\frac{1}{4} = \frac{3}{12}, \quad \frac{1}{6} = \frac{2}{12}$$ 12. Add numerators: $$\frac{3}{12} + \frac{2}{12} = \frac{5}{12}$$ 13. Final answer: $\frac{5}{12}$. This covers basic fraction concepts suitable for class 5.