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Simplify: 3/8+7/2+\ (-3)/5+9/8+\ (-3)/2+...

Simplify: `3/8+7/2+\ (-3)/5+9/8+\ (-3)/2+6/5`

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To simplify the expression \( \frac{3}{8} + \frac{7}{2} + \left(-\frac{3}{5}\right) + \frac{9}{8} + \left(-\frac{3}{2}\right) + \frac{6}{5} \), we will follow these steps: ### Step 1: Group the fractions with the same denominators We can group the fractions based on their denominators: - The fractions with denominator 8: \( \frac{3}{8} + \frac{9}{8} \) - The fractions with denominator 2: \( \frac{7}{2} + \left(-\frac{3}{2}\right) \) - The fractions with denominator 5: \( \left(-\frac{3}{5}\right) + \frac{6}{5} \) ...
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RD SHARMA-RATIONAL NUMBERS-All Questions
  1. Add and express the sum as a mixed fraction: (-31)/6a n d(-27)/8 (...

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  2. Simplify: 4/3+3/5+\ (-2)/3+\ (-11)/5\ dot

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  3. Simplify: 3/8+7/2+\ (-3)/5+9/8+\ (-3)/2+6/5

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  4. Simplify: (-3)/(10)+7/(15)+3/(-20)+(-9)/(10)+(13)/(15)+(13)/(-20)

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  5. Write the additive inverse of each of the following rational numbers: ...

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  6. Verify: (a/b+c/d)+e/f=a/b+(c/d+e/f)f or a/b=\ (-2)/3, c/d=5/7 a n d e...

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  7. Using commutativity and associativity of addition of ration of numbers...

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  8. Using commutativity and associativity of addition of ration of numbe...

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  9. Re- arrange suitably and find the sum: 5/3+(11)/2+\ (-9)/4+\ (-8)/3+\...

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  10. Re- arrange suitably and find the sum: (-4)/7+7/6+2/7+\ 3+\ (-11)/6

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  11. Verify commutativity of addition of rational numbers for each of the f...

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  12. Verify commutativity of addition of rational numbers for each of the f...

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  13. Verify commutativity of addition of rational numbers for each of the f...

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  14. Verify associativity of addition of rational i.e., (x+y)+z=x+(y+z), wh...

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  15. Verify associativity of addition of rational i.e., (x+y)+z=x+(y+z), wh...

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  16. Write the additive inverse of each of the following rational numbers: ...

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  17. Write the additive inverse of each of the following rational numbers: ...

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  18. Write the negative (additive inverse) of each of the following : (i)...

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  19. Write the negative (additive inverse) of each of the following : (...

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  20. Using commutativity and associativity of addition of rational numbers,...

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