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.
3. Important rules:
- To add or subtract fractions, they must have a common denominator.
- To multiply fractions, multiply numerators and denominators directly.
- To divide fractions, multiply by the reciprocal of the divisor.
4. Example: Add $\frac{2}{3}$ and $\frac{1}{4}$.
5. Find a common denominator: $3 \times 4 = 12$.
6. Convert fractions: $\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}$ and $\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}$.
7. Add numerators: $8 + 3 = 11$.
8. Result: $\frac{11}{12}$.
9. This fraction cannot be simplified further.
10. So, $\frac{2}{3} + \frac{1}{4} = \frac{11}{12}$.
This process applies similarly to other fraction operations.
Fractions C72095
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