Question

Rita gave $ \dfrac{2}{3} $ of her chocolate to 6 of her friends. What fraction did each of the friends get?

Answer 1

Hint: In this question, Rita had chocolate and \[\dfrac{2}{3}\]of it she gave to her 6 friends and we need to find the fraction of chocolate each friend got. So, first we will let the whole chocolate as ‘x’. So, the divided part would be $ \dfrac{{2x}}{3} $ . The chocolate was divided into 6 friends so each part would be equal to \[\dfrac{1}{6}\].

Complete step-by-step answer:
Assume the whole chocolate as $ x $ .
The part of chocolate which is divided among the friends is $ \dfrac{2}{3} $ of $ x $ .
The chocolate is divided among 6 friends. So, each part would be $ \dfrac{1}{6} $ of the $ \dfrac{{2x}}{3} $ .
We have to find the fraction of chocolate which each friend would get. So, by using the operation of multiplication we will multiply $ \dfrac{1}{6} $ with $ \dfrac{{2x}}{3} $ .
 $ = \dfrac{1}{6} \times \dfrac{{2x}}{3} $
 $ = \dfrac{1}{3} \times \dfrac{x}{3} $
 $ = \dfrac{x}{9} $
So, each friend would get $ \dfrac{1}{9} $ part of the whole chocolate.
So, the correct answer is “ $ \dfrac{1}{9} $ ”.

Note: Total amount of chocolate is not given in the question and because of that we assumed it as ‘x’. It is not necessary to label the chocolate as ‘x’, we can let it be anything like ‘a’, ’b’, ’c’, ……. At the time of solving we can divide the denominator with any of the two numerators and after simplifying it we will multiply the digits numerator with each other and multiply the digits of denominator with each other. After that we will get our final answer.