Advertisements
Advertisements
Question
Describe two methods to compare `13/17` and 0.82. Which do you think is easier and why?
Advertisements
Solution
Method I: Convert both into decimals
`13/17 = 0.76`
∴ 0.76 < 0.82
Hence, `13/17 < 0.82`
Method II: Convert both into fractions
`0.82 = 82/100 = 41/50`
Now, compare `13/17` and `41/50`
To compare these fractions, we have to make the denominator same,
∴ `13/17 = 13/17 xx 50/50 = 650/850`
`41/50 = 41/50 xx 17/17 = 697/850`
∴ `697/850 > 650/850`
Hence, `13/17 < 0.82`
Conclusion: Method II is easier.
APPEARS IN
RELATED QUESTIONS
Find answers to the following. Write and indicate how you solved them.
Is `9/16` equal to `5/9`?
Ila read 25 pages of a book containing 100 pages. Lalita read `2/5` of the same book. Who reads less?
Find out which is greater in the following fractions.
`5/12` and `7/12`
Write the proper symbol in the box
`3/7 square 5/9`
Colour the Hats
Colour `1/3` of the hat's red.
Colour three-fifth of hats blue.
How many hats did you colour red?
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.
[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?
A fraction with denominator greater than the numerator is called a ______ fraction.
Make five more such pairs and put appropriate signs.
How quickly can you do this? Fill appropriate sign.
`2/4 ☐ 3/6`
