Understanding Ratio and Proportion
Ratio and Proportion are fundamental concepts in mathematics, especially important for Class 7 students following the CBSE & NCERT curriculum.

What is a Ratio?
- A ratio is a way to compare two quantities by division.
- It expresses how much of one thing there is compared to another.
- Example: The ratio of boys to girls in a class is 3:2, which means for every 3 boys, there are 2 girls.

What is Proportion?
- Proportion shows that two ratios are equal.
- It can be expressed as: a:b = c:d, which means the ratio of a to b is equal to the ratio of c to d.
- Example: If 1/2 = 2/4, then the ratios are in proportion.

Types of Ratios
- **Direct Ratio:** When two quantities increase or decrease together.
- **Inverse Ratio:** When one quantity increases while the other decreases.

Applications of Ratios and Proportions
- Ratios and proportions are used in various real-life situations, such as:
- Cooking (adjusting ingredient quantities)
- Map reading (scale representation)
- Financial calculations (budgeting)

Solving Problems with Ratios and Proportions
- To solve problems, write the ratio, set up a proportion, and use cross-multiplication to find unknown values.
- Example Problem: If 3 apples cost 60 rupees, how much do 5 apples cost?
- Set up the ratio: 3/60 = 5/x
- Cross-multiply and solve for x.

Conclusion
Understanding ratios and proportions is essential for solving real-world problems and lays the groundwork for advanced mathematical concepts. Regular practice will enhance your skills and confidence in dealing with these concepts.

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