Question

Manju has a chocolate. She gave one-fourth of it to Raji, one-third to Sugatha and one-sixth to Sheela. She ate the remaining part. How many pieces of chocolate did each get?

Answer 1

Number of equal partitions in the chocolate = 12

Fraction of chocolate given to Raji = $\frac{1}{4}$ of whole chocolate
$\begin{array}{cc}\frac{1}{4}\text{of}12& =\frac{1}{4}\times 12\\ & =12÷4\\ & =3\end{array}$

Fraction of chocolate given to Sugatha = $\frac{1}{3}$ of whole chocolate
$\begin{array}{cc}\frac{1}{3}\text{of}12& =\frac{1}{3}\times 12\\ & =12÷3\\ & =4\end{array}$

Fraction of chocolate given to Sheela = $\frac{1}{6}$ of whole chocolate
$\begin{array}{cc}\frac{1}{6}\text{of}12& =\frac{1}{6}\times 12\\ & =12÷6\\ & =2\end{array}$

Partitions of chocolate got by Manju = 12 - 3 - 4 - 2
= 3

Thus, Manju gets 3 partitions, Raji gets 3 partitions, Sugatha gets 4 partitions, and Sheela gets 2 partitions.