Comparison of Fractions


 
 
Concept Explanation
 

Comparison of Fractions

Comparison of fraction:

Sometimes we need to compare two fractions to discover which is larger or smaller.

There are two main ways to compare fractions: using decimals, or using the same denominator.

Using Decimal method:

Example: which is bigger: 3/8 or 5/12 ?

Solution:  3/8 = 0.375, and 5/12 = 0.4166...

               So 5/12 is bigger.

Using the same denominator method:

Example: Which is larger: 3/8 or 5/12 ?

Solution:

  • When we multiply 8 × 3 we get 24,
  • and when we multiply 12 × 2 we also get 24
  •        We can now see that 9/24 is smaller than 10/24 (because 9 is smaller than 10). ,

             so 5/12 is the larger fraction.

     

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

    Arrange the given fractions in desending order.

    frac{4}{7},frac{2}{3},frac{4}{7},frac{4}{7},frac{3}{5}

    Right Option : D
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    Explanation
    Question : 2

    Among 7/10 and 3/10 which is greater?

    Right Option : A
    View Explanation
    Explanation
    Question : 3

    Choose the correct sign, which suits the below options.

    (i)frac{3}{10}...frac{2}{5};;;;(ii)frac{7}{5}...frac{11}{9}

    Right Option : D
    View Explanation
    Explanation
     
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