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EXAMPLE 1. Add frac(5)(9) and frac(-13)(...

EXAMPLE 1. Add `frac(5)(9)` and `frac(-13)(9).`

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Explore conceptually related problems

EXAMPLE 6. Add frac(9)(-16) and frac(-5)(-12).

EXAMPLE 5. Add frac(-3)(8) and frac(-5)(12).

. Add frac(-2)(3) and frac(3)(4).

Add frac(7)(-11) and frac(3)(7).

Add(-5)/(9) and (-17)/(9)

EXAMPLE 7. Find the sum: (frac(5)(9)+frac(-7)(12)+frac(11)(18)).

EXAMPLE 1. Simplify: (i) frac(7)(15) div frac(2)(3) (ii) frac(-8)(35) div frac(2)(7) (iii) frac(16)(21) div frac(-4)(3) (iv) frac(-9)(20) div frac(-3)(10)

(frac(-2)(5))^(7) div (frac(-2)(5))^(5)= ?

(frac(-1)(5))^(3) div (frac(-1)(5))^(8)= ?

EXAMPLE 13. Simplify: (frac(1)(2))^(-2)+(frac(1)(3))^(-2)+(frac(1)(4))^(-2)

RS AGGARWAL-RATIONAL NUMBERS-SOLVED EXAMPLES
  1. EXAMPLE 1. Add frac(5)(9) and frac(-13)(9).

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  2. Add frac(7)(-11) and frac(3)(7).

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  3. . Add frac(-2)(3) and frac(3)(4).

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  4. Simplify: frac(7)(-27)+frac(11)(18).

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  5. EXAMPLE 5. Add frac(-3)(8) and frac(-5)(12).

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  6. EXAMPLE 6. Add frac(9)(-16) and frac(-5)(-12).

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  7. EXAMPLE 7. Find the sum: (frac(5)(9)+frac(-7)(12)+frac(11)(18)).

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  8. EXAMPLE 8. Express each of the following rational number as the sum of...

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  9. EXAMPLE 9. Rahul walks frac(2)(3) km from a place p towards east and t...

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  10. EXAMPLE 1. Find the additive inverse of: (i) frac(5)(9) (ii) frac(-1...

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  11. EXAMPLE 2. Subtract (i) frac(3)(4)("from")frac(2)(3) (ii) frac(-5)(7)(...

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  12. The sum of two rational numbers is -5. If of the numbers is frac(-13)(...

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  13. . What should be added to frac(-7)(8) to get frac(4)(9) ?

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  14. What should be subtracted from frac(-2)(3) to get frac(5)(6) ?

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  15. . Find the product: (i) frac(2)(3) xx frac(5)(7) (ii) frac(3)(4) xx ...

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  16. . Simplify: (i) frac(-36)(7) xx frac(-14)(9) (ii) frac(-8)(13) xx frac...

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  17. Simplify: (i) (7)(18) xx(-4) (ii) (-36) xx ((-5)(9))

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  18. Simplify: (i) frac(-5)(9) xx frac(63)(-100) (ii) frac(-11)(9) xx frac(...

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  19. S car is moving at an average speed of 56(4/5) km/h. How much distance...

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  20. . Write down the reciprocal of: (i) frac(13)(7) (ii) frac(-8)(9) (ii...

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