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प्रश्न
Ammini says half of half and one-third of three-quarters are equal. Do you agree? How will you show this?
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उत्तर
Yes, Ammini, is right.
This can be shown in the following pictures.




So, half of half is equal to one-quarter, and one-third of three-quarters is equal to one-quarter.
Thus, we can say that half of half is equal to one-third of three quarters.
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संबंधित प्रश्न
Asha and Samuel have bookshelves of the same size partly filled with books. Asha’s shelf is `5/6`th full and Samuel’s shelf is `2/5`th full. Whose bookshelf is more full? By what fraction?
Write the fraction shown by the shaded part.
Find out which is greater in the following fractions.
`22/48` and `17/48`
Find out which is greater in the following fractions.
`11/56` and `27/56`
Chocolate Bar
Manju had chocolate. She gave one-fourth of it to Raji, one-third to Sugatha, and one-sixth to Sheela. She ate the remaining part. How many pieces of chocolate did each get? Write here.

What part of the chocolate did Manju eat?
Equal Parts of a Triangle
Now try to make three equal parts of this triangle in a different way. Colour each one third with a different colour.

What happened after that? Complete the story. What part of the prize did the poet get?
[This game is to be played in groups of 4. Each player has to make a circle as shown. Each one has to make 15 tokens on slips on paper.
Write `1/2, 1/3, 1/4, 1/6, 1/12, 2/12, 3/12, 4/12,...11/12` to make your tokens.
Shuffle, the tokens and make a pile in the middle of the group. Now you are ready to start the game.
The first player takes a token from the pile, colours that part of the picture, and puts the token under the pile. The next player does the same, and so on. The winner is the one who first colours the circle completely.]
- What are the winner’s tokens?
[This game is to be played in groups of 4. Each player has to make a circle as shown. Each one has to make 15 tokens on slips on paper.
Write `1/2, 1/3, 1/4, 1/6, 1/12, 2/12, 3/12, 4/12,...11/12` to make your tokens.
Shuffle, the tokens and make a pile in the middle of the group. Now you are ready to start the game.
The first player takes a token from the pile, colours that part of the picture, and puts the token under the pile. The next player does the same, and so on. The winner is the one who first colours the circle completely.]
- Write the tokens you got.
How quickly can you do this? Fill appropriate sign.
`1/4 ☐ 2/8`
