Ratio and Proportion
ICSE · Class 7 · Mathematics
Summary of Ratio and Proportion for ICSE Class 7 Mathematics. Key concepts, important points, and chapter overview.
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Overview
Ratio is a comparison of two quantities of the same kind with the same unit. It is written with a colon and gives a pure number with no unit. Ratio and proportion help compare quantities, simplify relationships, and solve problems involving sharing, scaling, and unknown terms.
Key Concepts
A ratio is a relationship between
A ratio is a relationship between two quantities of the same kind with same unit, obtained by dividing the first quantity by the second. It is written
In the ratio 3
In the ratio 3:4, 3 is the antecedent and 4 is the consequent. The two terms of a ratio are co-prime in simplest form.
A ratio is in simplest form
A ratio is in simplest form when both terms are co-prime, so their H.C.F. is 1. For example, 4:5 is already in simplest form, while 6:8 is not. To sim
A ratio with fractions can be
A ratio with fractions 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 mult
If a quantity is divided
If a quantity is divided in the ratio 2:3, the whole quantity is split into 2 + 3 = 5 equal parts, and the shares are taken in that proportion.
Learning Objectives
- Define ratio and proportion correctly
- Identify antecedent and consequent in a ratio
- Write ratios in simplest form
- Convert fractional ratios into whole number ratios
- Divide a quantity in a given ratio
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