NCERT Solutions Ganita Prakash Chapter 7 In-text Questions — Fractional Units as Parts of a Whole

Book page 154 & 155 Updated on2026-09-05

Q1.
A picture of the chikki broken into 2 pieces is shown below. How much of the original chikki is each piece?
Answer

The whole chikki is thought of as 4 equal quarters. The break gives one small piece and one big piece.

Small piece = 1 quarter = 1/4 chikki
Big piece = 3 quarters = 3 times 1/4 = 3/4 chikki
Check it yourself: 1/4 + 3/4 = 4/4 = 1 whole chikki ✔
Q2.
By dividing the whole chikki into 6 equal parts in different ways, we get 16 chikki pieces of different shapes. Are they of the same size?
Answer

Yes — they are the same size, even though their shapes are different.

In the first picture the chikki is cut into 6 rectangles; in the second it is cut into 6 triangles. In both cases the whole chikki has been shared into 6 equal parts, so one part is 16 chikki either way.

The big idea: a fraction measures how much, not what shape. Six equal pieces of the same chikki must each be 16 of it, whether they are square, rectangular or triangular.
Try This: fold a square sheet into 6 equal parts in two different ways. Cut them and place one piece of each kind on a weighing balance — they balance.
Q3.
What is the fractional unit of chikki shown below?
Answer

The whole chikki has been broken into 3 equal pieces and one of them is shown.

1 whole ÷ 3 equal pieces → each piece = 1/3 chikki

Answer: the fractional unit is 13.

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