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What should be subtracted from (3/4-2/3)...

What should be subtracted from `(3/4-2/3)\ ` to get `(-1)/6` ?

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Firstly we should calculate `(3/4-2/3)`
`=3/4-2/3`
Taking LCM, we get LCM as `12`.
`=(9-8)/12`
`=1/12`

The difference of two numbers is `-1/6`.
One of the numbers is `1/12`.
Let the other number subtracted be `x` to get `-1/6`.
Now,
`1/12-x=-1/6`
`-x=-1/6-1/12`
Taking LCM, we get the LCM as `12`.
`-x=(-2-1)/12`
`-x=-3/12`
`x=1/4`.
Hence, the other number is `1/4`.
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RD SHARMA-RATIONAL NUMBERS-All Questions
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  2. What should be added to (1/2+1/3+1/5) to get 3 ?

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  3. What should be subtracted from (3/4-2/3)\ to get (-1)/6 ?

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  4. Fill in the blanks : (i)(-4)/(13)-(-3)/(26)= ... (ii) (-9)/(14)+=-1 ...

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  5. Find: 3/7+ (-6/(11))+8/(21)+((-5)/(22))

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  6. Find : (-7)/4 + 5/3 + (-5)/6 + 1/3 + (-1)/2

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  7. Evaluate : (-12)/5+(-7)/(20)+3/(14)+1/7+(-1)/(10)

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  8. Find : 3/4+ ((-3)/5)+((-2)/3)+5/8+ ((-4)/(15))

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  9. Evaluate : 6/7-2+(-7)/9+(19)/(21)

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  10. Simplify : (-2)/3+5/9-(-7)/6 (ii) 5/(12)+(-5)/(18)-7/(24) gdg

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  11. Simplify each of the following and write as a rational number of the...

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  12. Simplify each of the following and write as a rational number of the...

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  13. Simplify each of the following and write as a rational number of the...

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  14. Express each of the following as a rational number of the form p/q :...

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  15. Express each of the following as a rational number of the form p/q :...

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  16. Express each of the rational number of the form p/q :-7/4+5/3+(-1)/2...

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  17. Simplify: (i)(-3)/2+5/4-7/4 (ii) 5/3-7/6+(-2)/3

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  18. Simplify: 5/4-7/6-(-2)/3 (ii) (-2)/5-(-3)/(10)-(-4)/7

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  19. Simplify: (i)5/6+(-2)/5-(-2)/(15) (ii) 3/8-(-2)/9+(-5)/(36)

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  20. Multiply : (i)3/4b y5/7 (ii) 3/7b y\ ((-4)/5) (iii)((-5)/9)\ b y\ 4...

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