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Simplify: (3/2xx1/6)+(5/3xx7/2)-\ ((13)...

Simplify: `(3/2xx1/6)+(5/3xx7/2)-\ ((13)/8xx4/3)`

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AI Generated Solution

To simplify the expression \((\frac{3}{2} \times \frac{1}{6}) + (\frac{5}{3} \times \frac{7}{2}) - (\frac{13}{8} \times \frac{4}{3})\), we will follow these steps: ### Step 1: Calculate each term separately. 1. **First term**: \(\frac{3}{2} \times \frac{1}{6}\) \[ = \frac{3 \times 1}{2 \times 6} = \frac{3}{12} = \frac{1}{4} \] ...
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RD SHARMA-RATIONAL NUMBERS-All Questions
  1. Simplify : ((13)/7xx(11)/(26))-\ ((-4)/3xx5/6)

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  2. Simplify : (8/5xx(-3)/2)+ ((-3)/(10)xx(11)/(16))

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  3. Simplify: (3/2xx1/6)+(5/3xx7/2)-\ ((13)/8xx4/3)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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