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E:\Working\Orange_Education\Math_Genius_3_(08-10-2025)\Open_Files\CHAP_06
\ 08-Oct-2025 Bharat Arora Proof-10 Reader’s Sign _______________________ Date __________
One-Third One-third
When we divide an object into three equal parts, each part is called
1
one-third of the whole. We express one-third by and read it as one Three one-thirds
by three or one over three. 3 make a whole.
One-Fourth One-
fourth
When we divide an object into four equal parts, each part is called
one-fourth (or quarter) of the whole. We express one-fourth by 1 Four one-fourths
4
and read it as one by four or one over four. make a whole.
Similarly, a region can be divided into several
equal parts and each part can be shown as a Knowledge Desk
fraction. Chandrayaan-3 launched on Cross-Curricular Learning
14 July 2023 covered about two thirds
WriTing FracTiOns 2
of the distance to the Moon in
3
We represent a fraction like this: around 22 days during its
Number of parts being talked about whole journey of 41 days. It
Fraction = landed on the Moon on 23
Total number of equal parts August 2023.
2
In the given figure, 2 parts out of 3 equal parts are shaded. We express it as
3
and read it as two-thirds or two by three or two over three.
Let's look at some more fractions and learn how to read and understand them.
Fraction Understanding Reading
2 Two-ninths
9 2 parts out of 9 equal parts of
a whole are coloured.
6 Six-sevenths
7
6 parts out of 7 equal parts of
a whole are coloured.
numerator and Denominator of a Fraction
Monu’s mat has 9 squares. He paints 4 squares red.
4 Numerator
The fraction representing red squares =
9 Denominator
Here, 4 is called the numerator and 9 is called the denominator of the fraction.
106 Mathematics-3

