Mathematics
Grade6
Easy

Question

______ is the reciprocal of 2 fraction numerator 5 over denominator 8 end fraction.

  1. fraction numerator 8 over denominator 5 end fraction    
  2. 5 fraction numerator 2 over denominator 8 end fraction    
  3. fraction numerator 8 over denominator 21 end fraction    
  4. fraction numerator 8 over denominator 10 end fraction    

hintHint:

The Rational Number Obtained after interchanging the Numerator and Denominator is called Reciprocal of a Rational Number. To find the reciprocal of the mixed fraction change the mixed fraction into improper fraction and convert it into reciprocal.

The correct answer is: fraction numerator 8 over denominator 21 end fraction


    For converting mixed fraction into Improper fraction
    Improper fraction = fraction numerator open parentheses text Whole number × Denominator end text close parentheses text  + Numerator end text over denominator text Denominator end text end fraction
    2 blank fraction numerator 5 over denominator 8 end fraction equals fraction numerator 16 plus 5 over denominator 8 end fraction equals fraction numerator 21 over denominator 8 end fraction
    The reciprocal of fraction numerator 21 over denominator 8 end fraction blankis fraction numerator 8 over denominator 21 end fraction.

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