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Question
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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Solution
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.
RELATED QUESTIONS
Find answers to the following. Write and indicate how you solved them.
Is `5/9` equal to `4/5`?
Write the fraction shown by the shaded part.
Which is smaller in the following fraction?
`10/42` and `21/42`
Write the proper symbol in the box
`4/9 square 4/9`
The green rectangle is bigger than the blue one. Can we say that `1/6` of the green rectangle is bigger than `1/6` of the blue rectangle?
[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?
Write the shaded portion as a fraction. Arrange them in ascending and descending order using the correct sign ‘<’, ‘=’, ‘>’ between the fractions:
Look at the figures and write ‘<’ or ‘>’, ‘=’ between the given pairs of fractions.
`1/6 ☐ 1/3`
How quickly can you do this? Fill appropriate sign.
`2/4 ☐ 3/6`
How quickly can you do this? Fill appropriate sign.
`1/4 ☐ 2/8`
