NCERT Solutions for Class 6th Maths Chapter 7 Understanding equivalent fractions using equal shares — Figure it Out

Book page 166 Updated on2026-09-19

Q1.

Three rotis are shared equally by four children. Show the division in the picture and write a fraction for how much each child gets. Also, write the corresponding division facts, addition facts, and multiplication facts.

Three rotis and four children, as given in the book.

Answer

Cut each of the 3 rotis into 4 equal parts. That gives 12 quarters, and 12 ÷ 4 = 3 quarters for every child.

Fraction of roti each child gets = 3/4
Division fact: 3 ÷ 4 = 3/4
Addition fact: 3 = 3/4 + 3/4 + 3/4 + 3/4
Multiplication fact: 3 = 4 × 3/4

Check it yourself: 3/4 + 3/4 + 3/4 + 3/4 = 12/4 = 3 rotis ✔

Q2.

Draw a picture to show how much each child gets when 2 rotis are shared equally by 4 children. Also, write the corresponding division facts, addition facts, and multiplication facts.

Answer

Cut both rotis into halves. That makes 4 halves — one half for each child.

Each child gets 2/4 = 1/2 roti
Division fact: 2 ÷ 4 = 2/4 = 1/2
Addition fact: 2 = 1/2 + 1/2 + 1/2 + 1/2
Multiplication fact: 2 = 4 × 1/2

Q3.

Anil was in a group where 2 cakes were divided equally among 5 children. How much cake would Anil get?

Answer

Cut each cake into 5 equal parts: 2 × 5 = 10 pieces of ¹⁄₅ cake, shared by 5 children.

2 ÷ 5 = 2/5 cake
Each child: 1/5 + 1/5 = 2/5

Answer: Anil gets ²⁄₅ of a cake.

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