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Write down the numerator and the denominator of each the of the following rational numbers:
(i) `frac (8)(19)`
(ii) `frac(5)(-8)`
(iii) `frac(-13)(15)`
(iv) `frac(-8)(-11)`
(v) 9

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The correct Answer is:
To solve the problem of identifying the numerator and denominator of each given rational number, we will go through each part step by step. ### Step-by-Step Solution: 1. **Identify the first rational number: \( \frac{8}{19} \)** - **Numerator:** The numerator is the top number, which is **8**. - **Denominator:** The denominator is the bottom number, which is **19**. 2. **Identify the second rational number: \( \frac{5}{-8} \)** - **Numerator:** The numerator is the top number, which is **5**. - **Denominator:** The denominator is the bottom number, which is **-8**. 3. **Identify the third rational number: \( \frac{-13}{15} \)** - **Numerator:** The numerator is the top number, which is **-13**. - **Denominator:** The denominator is the bottom number, which is **15**. 4. **Identify the fourth rational number: \( \frac{-8}{-11} \)** - **Numerator:** The numerator is the top number, which is **-8**. - **Denominator:** The denominator is the bottom number, which is **-11**. 5. **Identify the fifth rational number: \( 9 \)** - **Numerator:** We can express 9 as \( \frac{9}{1} \). Thus, the numerator is **9**. - **Denominator:** The denominator is **1**. ### Summary of Results: - (i) \( \frac{8}{19} \): Numerator = 8, Denominator = 19 - (ii) \( \frac{5}{-8} \): Numerator = 5, Denominator = -8 - (iii) \( \frac{-13}{15} \): Numerator = -13, Denominator = 15 - (iv) \( \frac{-8}{-11} \): Numerator = -8, Denominator = -11 - (v) \( 9 \): Numerator = 9, Denominator = 1
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RS AGGARWAL-RATIONAL NUMBERS-EXERCISE 4A
  1. What are rational numbers? Give Examples of five positive and five neg...

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  2. Which of the following are rational numbers? (i) frac(5)(-8) (ii) ...

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  3. Write down the numerator and the denominator of each the of the follow...

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  4. Write each of the following integers as a rational number. Write the n...

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  5. Which of the following are positive rational numbers? (i) frac(3)(-5...

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  6. Which of the following are negative rational number? (i) frac(-15)(-...

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  7. Find four rational number equivalent to each of the following. (i) f...

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  8. Write each of the following as a rational number with positive denomin...

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  9. Express frac(5)(8) as a rational number with numerator (i) 15, (ii...

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  10. Express frac(4)(7) as a rational number with denominator (i) 21, (...

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  11. Express frac(-12)(13) as a rational number with numerator (i) -48, ...

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  12. Express frac(-8)(11) as a rational number with denominator (i) 22, ...

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  13. Express frac(14)(-5) as a rational number with numerator (i) 56, (...

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  14. Express frac(13)(-8) as a rational number with denominator (i) -40, ...

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  15. Express frac(-36)(24) as a rational number with numerator (i) -9, ...

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  16. Express frac(84)(-147) as a rational number with denominator (i) 7, ...

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  17. Write each of the following rational number in standard form: (i) fr...

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  18. Fill in the blanks: (i) frac(-9)(5)=frac(....)(20)=frac(27)(....)=fr...

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  19. Which of the following are pairs of equivalent rational numbers? (i)...

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  20. Find x such that: (i) frac(-1)(5)=frac(8)(x) (ii) frac(7)(-3)=frac...

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