Question

Anuj was eating a cake. He had eaten one-fourth of the cake. He later divided the remaining cake equally among his three cousins. Fraction of cake each of his cousins get is
A.$\dfrac{1}{4}$
B.$\dfrac{3}{4}$
C.$\dfrac{5}{8}$
D.$\dfrac{1}{8}$

Answer 1

Hint: Firstly, we calculate the remaining cake by subtracting $\dfrac{1}{4}$ from the full cake that is 1. After that we obtain the remaining cake. Now, we divide the remaining cake in three cousins. This division of cake is giving the fraction of cake each of his cousins.

Complete step-by-step answer:
Let us suppose the whole cake is denoted by x. according to the condition Anuj ate one-fourth of the cake.
Now, we calculate the remaining cake is $1 - \dfrac{1}{4} = \dfrac{3}{4}$.
For the given data, the remaining cake was divided into three equal parts. So, it means the remaining cake $\dfrac{3}{4}$ is divided into three equal parts.
$\dfrac{{\dfrac{3}{4}}}{3} = \dfrac{3}{4} \times \dfrac{1}{3}$
 =$ \dfrac{1}{4}$
Hence, each cousin gets one fourth of the cake. The option (a) is the correct option.

Additional information: There are three important types of fractions in Maths. There are proper fractions, fractions that are improper, and mixed fractions. Fractions are terms that have a denominator and a numerator. And we describe their forms based on these two concepts. The terminology used to define the pieces of a whole object are fractions.

Note: Fraction can be defined by, each fraction has a numerator equal to the number of components we have and a denominator equal to the total number of components in the entire fraction. The formula of the fraction shown in mathematical form is given below:
${\rm{Fraction}} = \dfrac{{{\rm{Number\,of\, parts}}}}{{{\rm{Total\, number\, of\, parts}}}}$.