Mathematics
Grade6
Easy

Question

The quotient when the sum of fraction numerator 2 over denominator 3 end fraction and fraction numerator 4 over denominator 5 end fraction is divided by the product of fraction numerator 1 over denominator 4 end fraction text end textand fraction numerator 4 over denominator 7 end fraction is ______.

  1. fraction numerator 7 over denominator 9 end fraction    
  2. fraction numerator 154 over denominator 15 end fraction    
  3. fraction numerator 15 over denominator 154 end fraction    
  4. fraction numerator 25 over denominator 154 end fraction    

hintHint:

When we do division between two fraction, we use reciprocal method.

The correct answer is: fraction numerator 154 over denominator 15 end fraction


    The sum of fraction numerator 2 over denominator 3 end fraction and fraction numerator 4 over denominator 5 end fraction equals fraction numerator 2 over denominator 3 end fraction plus fraction numerator 4 over denominator 5 end fraction equals fraction numerator left parenthesis 10 plus 12 right parenthesis over denominator 15 end fraction equals fraction numerator 22 over denominator 15 end fraction
    The product of fraction numerator 1 over denominator 4 end fraction and fraction numerator 4 over denominator 7 end fraction equals fraction numerator 1 over denominator 4 end fraction cross times fraction numerator 4 over denominator 7 end fraction equals fraction numerator 1 over denominator 7 end fraction
    Now divide both the numbers.
    fraction numerator 22 over denominator 15 end fraction divided by fraction numerator 1 over denominator 7 end fraction equals fraction numerator 22 over denominator 15 end fraction cross times fraction numerator 7 over denominator 1 end fraction equals fraction numerator 154 over denominator 15 end fraction

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