Ratio and Proportion
ICSE · Class 7 · Mathematics
Complete topic list for Ratio and Proportion in ICSE Class 7 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
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Topics in Ratio and Proportion
1. Ratio: Meaning, Terms, and Simplest Form
- A ratio is a relationship between two quantities of the same kind with the same unit.
- The symbol of ratio is : .
- The ratio 3:4 can also be written as the fraction 3/4.
2. Converting Fractional Ratios and Sharing in a Ratio
- A fractional ratio can be converted into whole numbers by multiplying each term by the L.C.M. of the denominators.
- If each term of a ratio is multiplied or divided by the same non-zero number, the ratio remains the same.
- For example, (1/3):(1/4) becomes 4:3 after multiplying both terms by 12.
3. Ratio Problems Using L.C.M., H.C.F., and Unitary Method
- If two numbers are in the ratio 4:5, they can be written as 4x and 5x.
- The L.C.M. of 4x and 5x is 20x.
- If two numbers are in the ratio 3:4, their H.C.F. is x when the numbers are 3x and 4x.
4. Proportion, Extremes, Means, and Fourth Proportional
- When four quantities are so related that the ratio between the first and the second quantities is equal to the ratio between the third and the fourth quantities, they are said to be in proportion.
- Proportion is equality of two ratios.
- A proportion can be written with = or with :: .
Key Concepts
Central concept: Ratio and Proportion
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