Difference Between Ratio and Proportion


 
 
Concept Explanation
 

Difference Between Ratio and Proportion

Fractions, Ratios and proportions are quantities used for comparing different quantities having same units. Now Let us Understand one by one

Fraction:

It describes a part of a whole and its denominator represents the total number of parts.

For Example:

1. To represent two parts out of 11 parts the fraction will be written as fraction

frac{2}{11}

2. Ram has 5 books and Shyam has 7 books then share of Ram's books can be represented as

Total Books = No of Ram's books + No. of Shyam's Books = 5 + 7 = 12

Fraction Representing  Ram's Share will be

=frac{No ;of;books ;Ram}{Total;Number;of;Books}=frac{5}{12}

Ratio: 

A ratio is a comparison of two different quantities.

For Example: 

1.  To represent 2 parts out of 11 parts the ratio will be written as

parts : whole

 2: 11

2. Ram has 5 books and Shyam has 7 books then to compare share of Ram's books with Shyam's books in terms of ratio can be represented as

 No. of Ram's Books  : No. of Shyam's Books

   5 : 7

Proportion:

If two ratios are equal, then they are said to be in proportion.

Symbol “::” or “=” is used to equate the two ratios.

For Example:

1. Ratios 2:3 and 6:9 are proportional. 2:3 :: 6:9 or 2:3 = 6:9

Sample Questions
(More Questions for each concept available in Login)
Question : 1

No of boys in class 10th are 5 and no of girls in class 10th are 16. No of boys in class 9th are 10 and number of girls are 32. This relation can be best represented in terms of _________________ .

Right Option : C
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Explanation
Question : 2

Tom has 15 books and Harry has 17 books then share of Tom's books can be represented as a fraction will be ____________

Right Option : C
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Explanation
Question : 3

Lucy has 15 dresses and Juliet  has 4 dresses. The share of Juliet's dresses as compared to total number of dresses in terms of _________________ is represented as a 4 : 19.

Right Option : B
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Explanation
 
 
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