RBSE Class 6 Maths Notes Chapter 12 Ratio and Proportion

These comprehensive RBSE Class 6 Maths Notes Chapter 12 Ratio and Proportion will give a brief overview of all the concepts.

RBSE Class 6 Maths Chapter 12 Notes Ratio and Proportion

→ For comparing quantities of the same type, we commonly use the method of taking difference between the quantities.

→ The ratio of two quantities of the same kind and in the same units is a fraction that shows how many times the one quantity is of the other.

→ We use the symbol to express a ratio. The ratio of two numbers a and b (b ≠ 0) is a ÷ b or \(\frac{a}{b}\) and is denoted by a : b.

→ Necessary instructions to find ratio :

• For comparison by ratio, the two quantities must be in the same unit.
• The comparison becomes meaningless if the quantities being compared are not of the same kind.
• Ratio has no unit. It is only a number or fraction.

→ A ratio is said to be in the simplest form if its two terms have no common factor other than 1.

→ The ratio 3 : 2 is different from 2:3. Thus the order in which quantities are taken to express their ratio is important.

→ Two ratios are equivalent, if the fractions corresponding to them are equivalent.

→ A ratio can be expressed in its simplest form. For example 40: 15 can be written \(\frac{40}{15}\) and in simplest form \(\frac{40}{15}=\frac{8}{3}\). Thus 40 :15 = 8 : 3.

→ Four numbers are in proportion if the product of extreme terms is equal to the product of middle terms, i.e., a : b :: c : d if and only if ad = bc.

→ The order is important to proportions. 3,10,15 and 50 are in proportion but 3, 10, 50 and 15 are not in proportion because \(\frac{3}{10} \neq \frac{50}{15}\).

→ The method of finding first the value of one article from the value of the given number of articles and then the value of the required number of articles is called the unity method.