Simplification of Fractions


 
 
Concept Explanation
 

Simplification of Fractions

Simplification of fraction:

  • Find a common factor of the numerator and denominator. A common factor is a number that will divide into both numbers evenly. Two is a common factor of 4 and 14.
  • Divide both the numerator and denominator by the common factor.
  • Repeat this process until there are no more common factors.
  • The fraction is simplified when no more common factors exist.
  • For example: large frac{9}{10} div (frac{3}{5} + 2frac{1}{10})

    Solution: large frac{9}{10} div (frac{3}{5} + 2frac{1}{10})large =frac{9}{10} div (frac{3}{5} + frac{21}{10})large =frac{9}{10} div (frac{6+21}{10})[Solve within brackets]large =frac{9}{10} div (frac{27}{10})large =frac{9}{10} times (frac{10}{27})

    large =frac{1}{3}

     
    Sample Questions
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    Question : 1

    Simplify: frac{819}{3159}

    Right Option : A
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    Explanation
    Question : 2

    Four Friends shared 5 pancakes. How much did each one get?

    Right Option : A
    View Explanation
    Explanation
    Question : 3

    Simplify :  frac {2}{3}+frac {5}{2}-frac {4}{3}

    Right Option : A
    View Explanation
    Explanation
     
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