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Question
By using the following clues, find who am I?
i) Each of my numerator and denominator is a single digit number.
ii) The sum of my numerator and denominator is a multiple of 3.
iii) The product of my numerator and denominator is a multiple of 4.
Solution
The numerator may be any one of 1, 2, 3, 4, 5, 6, 7, 8, 9 and the denominator may be any one of 1, 2, 3, 4, 5, 6, 7, 8, 9.
Sum of numerator and denominator is a multiple of 3.
∴ Possible proper fractions are `1/2, 1/5, 1/8, 2/4, 2/7, 3/6, 3/9, 4/5, 4/8, 5/7, 6/9`
Also given the product of numerator and denominator is a multiple of 4.
∴ Possible fractions are `1/8, 2/4, 4/5, 4/8`
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Six parts of a Rectangle
Rani has divided a green rectangle into six equal parts like this.
Now you divide each of these rectangles into six equal parts. Use a different way for each of the three rectangles.
How will you check that each part is really one-sixth of that 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.]
- Who won the game?
When `1/4` is written with denominator as 12, its numerator is ______.
How quickly can you do this? Fill appropriate sign.
`3/4 ☐ 2/8`
How quickly can you do this? Fill appropriate sign.
`3/5 ☐ 6/5`