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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?

$\frac{5}{4}$
$\frac{1}{20}$
$\frac{4}{5}$
20

hint 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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