Question

Ramesh bought a piece of halwa for his children Ammu and Anu.
He divided it equally for them.
• Each will get __________ part of halwa.
"This piece is too big. We can't eat it", they said.
So he divided the pieces into half again. Now how many pieces will Ammu get? ________
• What part of the halwa is it? _________
"Make it even smaller, Dad" they asked.
So he again cut the halwa into smaller pieces.
"Ok, thank you, Dad."
• Now how many pieces will each get?
• What part of the halwa is each piece now?
• If Ramesh had cut the halwa into 6 equal parts how many pieces would each have got? Look at your answers for questions 1 to 4 and write ―
$\frac{1}{2}$ = ― = ― = ― = ― = ―

Answer 1

• When Ramesh divides the piece of halwa in two parts,then each child will get half part of halwa.
Each will get $\underline{\frac{1}{2}}$ part of halwa.

• When each of the two pieces of halwa is divided into 2 equal parts, then there will be a total of 4 pieces of halwa. Now, each of the child gets 2 pieces of halwa.

Thus, Ammu will get 2 pieces of halwa.

Total number of pieces of halwa = 4
Number of pieces with Ammu = 2
Part of halwa that Ammu gets = $\frac{2}{4}$ = $\frac{1}{2}$

Thus, Ammu will get half part of the halwa.

• When each of the 4 pieces cut again into halves, then we have a total of 8 pieces of halwa.
Now, each child will get 4 pieces of halwa.

• As one whole piece of halwa is now divided into 8 equal halves, each piece is $\frac{1}{8}$ part of the whole piece.

• When Ramesh divides the halwa into 6 equal parts, then each of the 2 child gets 3 pieces of halwa.

$\frac{1}{2}=\frac{2}{4}=\frac{3}{6}=\frac{4}{8}=\frac{5}{10}=\frac{6}{12}$