Mathematics
Grade6
Easy

Question

Ryan shares fraction numerator 1 over denominator 5 end fraction piece of cake between 4 people. What will be the share of each?

  1. fraction numerator 5 over denominator 4 end fraction    
  2. fraction numerator 1 over denominator 20 end fraction    
  3. fraction numerator 4 over denominator 5 end fraction    
  4. 20    

Hint:

To know the share of each person , we need to find amount of cake to be shared divided by number of persons.

The correct answer is: fraction numerator 1 over denominator 20 end fraction


    The amount of cake  fraction numerator 1 over denominator 5 end fraction piece of cake ; Number of people sharing the cake = 4
    Share of each person  = fraction numerator 1 over denominator 5 end fraction divided by 4
    We can multiply the reciprocal of the denominator with the numerator to find the value of the problem.
    fraction numerator 1 over denominator 5 end fraction divided by 4 equals fraction numerator 1 over denominator 5 end fraction cross times fraction numerator 1 over denominator 4 end fraction (Reciprocal of 4 is fraction numerator 1 over denominator 4 end fraction)
    equals fraction numerator 1 over denominator 5 end fraction cross times fraction numerator 1 over denominator 4 end fraction equals fraction numerator 1 cross times 1 over denominator 5 cross times 4 end fraction equals fraction numerator 1 over denominator 20 end fraction
    Therefore, the share of each person in the cake is 1 over 20 piece of cake.

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