Question

Chocolate Bar
Manju had 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? Write here.

What part of the chocolate did Manju eat?

Answer 1

The number of pieces in the chocolate is 12;

Raji got one-fourth, which means she got 3 pieces;

Sugatha got one-third, which means she got 4 pieces;

Sheela got one-sixth, which means she got 2 pieces;

Manju got the remaining portion.

We can calculate the remaining portion as follows:

${\displaystyle 1-(\frac{1}{4}+\frac{1}{3}+\frac{1}{6})}$

${\displaystyle =1-\left(\frac{3+4+2}{12}\right)}$

= ${\displaystyle 1-\frac{9}{12}}$

= ${\displaystyle \frac{12-9}{12}}$

= ${\displaystyle \frac{3}{12}}$

= ${\displaystyle \frac{1}{4}}$

and ${\displaystyle \frac{1}{4}}$ of 12 = ${\displaystyle \frac{1}{4}\times 12}$

= 3