NCERT Solutions for Class 6th Maths Chapter 7 Figure it Out — Fractional Units as Parts of a Whole

Book page 155 Updated on2026-09-19

Q1.
The figures below show different fractional units of a whole chikki. How much of a whole chikki is each piece?
A whole chikki
a.b.c.d.e.f.g.h.
The eight pieces a–h, with a whole chikki given for comparison.
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.

A whole chikki = 6 × 4 = 24 small squares
The whole chikki drawn as 24 equal small squares. One small square is 1⁄24 of the chikki.
PieceHow much it coversFraction of the chikki
a. 1 × 2 rectangle2 small squares2/24 = 1/12
b. big triangle, legs 3 and 4½ × 3 × 4 = 6 squares6/24 = 1/4
c. flat triangle, legs 3 and 2½ × 3 × 2 = 3 squares3/24 = 1/8
d. 1 × 4 strip4 small squares4/24 = 1/6
e. L-shape3 small squares3/24 = 1/8
f. triangle, base 2 and height 4½ × 2 × 4 = 4 squares4/24 = 1/6
g. single small square1 small square1/24
h. small triangle, legs 1 and 2½ × 1 × 2 = 1 square1/24

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.
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