Ratio and Its Simplest Form


 
 
Concept Explanation
 

Ratio and Its Simplest Form

Converting Ratio in Simplest Form:

A ratio is the relationship, or comparison, of one amount to another. To simplify a ratio means to reduce it to its smallest, simplest, terms.

Here we will learn how to make the ratio in simplest form.

1. A ratio between two quantities of same kind and in the same units is obtained on dividing one quantity by the other and has no unit. The ratio is independent of the units used in the quantities compared.

2. The ratio must always be expressed in its simplest form or in its lowest terms.

A ratio is said to be is the simplest form or in the lowest term if two quantities of a ratio (i.e., antecedent and consequent) have no common factor (i.e. antecedent and consequent are co-prime) other than 1 (or their HCF is 1.)

For example:

The ratio between 36 kg and 24 kg = (36 kg)/(24 kg) 

= 36/24, [both numerator and denominator are divided by 12]

= 3/2

= 3 : 2.

Sample Questions
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Question : 1

Identify the simplest ratio of Rs. 75 to 50 paise.

Right Option : C
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Explanation
Question : 2

Express 81:108 into the simplest ratio.

Right Option : A
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Explanation
Question : 3

If  large a:b=2:3: : : and : : b:c=5:7 ,: : then : : a:b:c  is equal to __________

Right Option : C
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Explanation
 
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