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\ 26-Sep-2025 Bharat Arora Proof-10 Reader’s Sign _______________________ Date __________

three-fourths Fraction as a Part oF a coLLection

When we divide an object into four equal parts, then 3 parts together out of 4 equal rani: I have a chocolate bar. There are 12 square pieces in it.
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parts is called three-fourths or three quarters. We write three-fourths as . It shows a collection or group of 12 similar pieces.
4 Soni (rani’s sister): Wow! I also want to eat this chocolate. Will

you share it with me, Didi?

+ rani: Of course. I will give you half of it. I can break it along the

dotted line into two halves as shown.

1 whole A quarter piece is 1 (One-fourth) 3 (Three-fourths) Soni: Thank you! I got one-half or 6 pieces.
being cut out. 4 4 Thus, both Rani and Soni have one-half of 12, that is, 6.
3 1 1
We read as 3 upon 4 or 3 by 4. We see Think Tank Logical Thinking Similarly, we can find or of the collections given Be Aware
4 3 4 1

that one three-fourths and one one-fourth 1. How many half pieces make below. 2 of 12 pieces = 12 ÷ 2 = 6 pieces
a whole pie?
make a whole. 2. Into how many quarters can we cut (a) Divide a collection of 6 ice-creams into 3 equal
an apple? groups. Each group has 2 ice-creams.

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Practice time 7B Thus, of 6 = 2.
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1. Colour one-fourth of each figure. (b) Divide a collection of 16 lollipops into 4 equal

groups. Each group has
(a) (b) (c) (d) 4 lollipops.

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2. Colour three-fourths of each figure. Thus, of 16 = 4.
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(a) (b) (c) (d)
Fast Check Logical Thinking

3. What part of the triangle is shaded in green and in red? Find the part of the following collections as directed.
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1. of 10 balls
(a) Green (b) Red 2
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2. of 12 toffees
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1
3. of 8 toy cars
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activity Creative Thinking
1 1
Draw 12 buttons in your notebook. Colour of them red and of them
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1 2
blue. Now, colour of the remaining buttons yellow. How many are left without colour?
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Mathematics-2 135