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Simplify: ((13)/9xx(-15)/2)+\ (7/3xx8/5...

Simplify: `((13)/9xx(-15)/2)+\ (7/3xx8/5)+(3/5xx1/2)`

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AI Generated Solution

To simplify the expression \(\frac{13}{9} \times \left(-\frac{15}{2}\right) + \frac{7}{3} \times \frac{8}{5} + \frac{3}{5} \times \frac{1}{2}\), we will follow these steps: ### Step 1: Calculate Each Multiplication 1. **First Term**: \[ \frac{13}{9} \times \left(-\frac{15}{2}\right) = \frac{13 \times -15}{9 \times 2} = \frac{-195}{18} \] ...
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RD SHARMA-RATIONAL NUMBERS-All Questions
  1. Simplify: (3/2xx1/6)+(5/3xx7/2)-\ ((13)/8xx4/3)

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  2. Simplify: (1/4xx2/7)-\ (5/(14)xx(-2)/3)+\ (3/7xx9/2)

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  3. Simplify: ((13)/9xx(-15)/2)+\ (7/3xx8/5)+(3/5xx1/2)

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  4. Simplify: (3/(11)xx5/6)-\ (9/(12)xx4/3)+\ (5/(13)xx6/(15))

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  5. Simplify: (-3)/5xx\ (-(10)/9)xx\ ((21)/(-4))xx(-6)

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  6. simplify : 3/(11)xx(-5)/6xx\ (-(22)/9)xx\ (-9/5)

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  7. Write the reciprocal of each of the following rational number: (i)7 ...

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  8. Write the reciprocal of each of the following rational number: (i)(-...

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  9. Find the reciprocal of (i)2/5xx4/9 (ii) (-3)/8xx(-7)/(13)

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  10. Verify the property: x×y=y×x by taking: (i)x=(-1)/3, y=2/7 (ii) x=(-...

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  11. Verify the property: x\ "x"\ y=y\ "x"\ x\ by taking: (i)x=2, y=7/(-8)...

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  12. Verify the property: (x×y)×z=x×(y×z) by taking: (i) x=7/3, y=(12)/5, ...

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  13. Verity the property: x\ "x"\ (y"\ x"\ z)=(x\ "x\ "y)x\ z\ b y\ t a k i...

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  14. Verity the property: x\ "x"\ (y+z)=x\ "x"\ y+x\ "x"\ z\ b y\ t a k ing...

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  15. Verity the property: x\ "x"\ (y+z)=x\ "x"\ y+x\ "x"\ z\ b y\ t a k ing...

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  16. Use the distributibity of multiplication of rational numbers over thei...

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  17. Use the distributibity of multiplication of rational numbers over thei...

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  18. Find the multiplicative inverse (reciprocal) of each of the following ...

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  19. Find the multiplicative inverse (reciprocal) 0f each of the following ...

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  20. Find the multiplicative inverse (reciprocal) 0f each of the following ...

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