NCERT Solutions for Class 6th Maths Chapter 7 In-text Questions — Fractional Units and Equal Shares
Book page 151 – 153 Updated on2026-09-19
Q1.
If one roti is equally shared among 4 children, how much roti will one child get? And which is more — 1⁄2 roti or 1⁄4 roti?
Answer
One roti shared equally by 4 children gives each child 1⁄4 roti.
1 roti ÷ 2 children = 1/2 roti each
1 roti ÷ 4 children = 1/4 roti each
So 1/2 > 1/4
Answer: 1⁄2 roti is more than 1⁄4 roti.
Why it happens: the roti is the same in both cases. In the second group more children share that same one roti, so each child’s piece must be smaller.
Q2.
Which fraction is greater — 1⁄5 or 1⁄9?
Answer
1⁄5 is greater. Arvin’s guess (“9 is bigger than 5, so 1⁄9 is bigger”) is a common mistake.
Think of the fractions as shares:
1 roti shared by 5 children → each gets 1⁄5 roti.
1 roti shared by 9 children → each gets 1⁄9 roti.
More people sharing → smaller share So 1/9 < 1/5
Tip: for fractional units, the bigger the denominator, the smaller the fraction. That is why 1⁄100 is bigger than 1⁄200.
Q3.
Find out and discuss the words for fractions that are used in the different languages spoken in your home, city, or state. Ask your grandparents, parents, teachers, and classmates what words they use for different fractions, such as for one and a half, three quarters, one and a quarter, half, quarter, and two and a half, and write them here:
Answer
This is a talking-and-collecting activity. Here are the words most families in India use — add the ones spoken in your own home.
Fraction
In numbers
Common Indian words
quarter
1/4
पाव (Hindi), कालु (kaal, Tamil), पाव (Marathi)
half
1/2
आधा (Hindi), अर्धा (Marathi), অর্ধেক (Bengali), arai (Tamil)
Did you know? In the Rig Veda the fraction 3⁄4 is called tri-pada — the very same idea as “teen paav” in everyday Hindi and “mukkaal” in Tamil. Our words for fractions are thousands of years old.