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Simplify : 2'1/2 - [2+{1/9[1/2+1/2+1/2...

Simplify :
`2'1/2 - [2+{1/9[1/2+1/2+1/2]+1/2}xx3]+ 2'1/4 xx 2/3`

Text Solution

Verified by Experts

The correct Answer is:
`-1/6`
`2'1/2-[2div{1/9(1/2+1/2+1/2)+1/2}xx3]div2'1/4xx2/3`
`=5/2-[2div{1/9(3/2)+1/2}xx3]div9/4xx105/140`
`= 5/2-(2div(1/6+1/2)xx3)div9/4xx2/3`
`= - [2xx6/4xx3]div9/4xx2/3=5/2-(9div9/4)xx2/3`
`= 5/2-9xx4/9xx2/3=5/2-8/3=(15-16)/(6) = - 1/6`
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PEARSON IIT JEE FOUNDATION-FRACTIONS AND DECIMALS -Short Answer type Qns
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  2. There are 125 balls in a basket. Out of which, 15 are white, 25 are br...

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  3. What should be added to the sum of 1//8 and 1//7 so that the sum is 5...

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  4. What should be subtracted from the sum of 1//12 and 1//8 so that the d...

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  5. Simplify: 1/2 ÷ 4/3 xx 2/3 ÷ 1/2 + 3/4 - 5/2 + 2/3 xx 9/4 ÷ 2/3

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  6. Simplify : 2'1/2 - [2+{1/9[1/2+1/2+1/2]+1/2}xx3]+ 2'1/4 xx 2/3

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  7. Simplify : 1'2/(15) + 2'2/(15) + 3'2/(15) + "……" + 100'2/(15)

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  8. Simplify: 1'1/11 + 2'2/11 + 3'3/11 + 4/11 + 5/11 + 6/11

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  9. Joshna and Vijay have some chocolates, The num-ber of chocolates with ...

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  10. Priyanka spends 2//15 of her income on clothes, 1//9 of her income on ...

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  11. A rope of length 18'1/2 m is cut into equal pieces of 1'7/30 m each. F...

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  12. Convert 7//20 into a decimal fraction.

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  13. Convert 0.425 into a fraction.

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  14. Simplify : 128.364 +10.08 - 132.16 + 9.8

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  15. Simplify : 0.9+0.9xx0.9÷0.9-0.9+0.9÷0.9xx0.9

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  16. What should be added to 1.834 so that the sum is 5 ?

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  17. What should be subtracted from the sum of 1.48 and 1.368 so that the d...

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  18. By how much is the sum of 44.44 and 32.03 greater than their differenc...

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  19. How money glasses of water is required to fill one litre water bottle,...

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  20. Ram purchased 3 notebooks that each costs ₹ 20.75 and 4 pencil that ea...

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