NCERT Solutions Ganita Prakash Chapter 7 Figure it Out — Fractional Units as Parts of a Whole
Book page 155 Updated on2026-09-05
Q1.
The figures below show different fractional units of a whole chikki. How much of a whole chikki is each piece?
Answer
Look at the whole chikki first. It is a 6 × 4 grid, so it is made of 24 equal small squares. Now just count how many small squares each piece covers.
The whole chikki drawn as 24 equal small squares. One small square is 1⁄24 of the chikki.
Piece
How much it covers
Fraction of the chikki
a. 1 × 2 rectangle
2 small squares
2/24 = 1/12
b. big triangle, legs 3 and 4
½ × 3 × 4 = 6 squares
6/24 = 1/4
c. flat triangle, legs 3 and 2
½ × 3 × 2 = 3 squares
3/24 = 1/8
d. 1 × 4 strip
4 small squares
4/24 = 1/6
e. L-shape
3 small squares
3/24 = 1/8
f. triangle, base 2 and height 4
½ × 2 × 4 = 4 squares
4/24 = 1/6
g. single small square
1 small square
1/24
h. small triangle, legs 1 and 2
½ × 1 × 2 = 1 square
1/24
Answers: a. 1⁄12 b. 1⁄4 c. 1⁄8 d. 1⁄6 e. 1⁄8 f. 1⁄6 g. 1⁄24 h. 1⁄24
Why counting squares works: every piece is compared with the same whole. If a piece covers k of the 24 small squares, it is k⁄24 of the chikki — then write that in lowest terms.