Math, asked by Anonymous, 1 year ago

Find a rational number which is as much as greater than 3/19 as is less than2/17.

(Solve with steps)
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Answers

Answered by Shashank2907
104
For these kind of questions, you have to find the average.
So, (3/19 + 2/17) * 1/2
= (51/323 + 38/323) * 1/2
= 89/323 * 1/2
= 89/646
Answered by ankhidassarma9
8

Answer:

\frac{89}{646} is the rational number which is as much as greater than 3/19 as is less than 2/17.

Step-by-step explanation:

  • let the Rational number be x which is as much as greater than 3/19 as is less than 2/17.
  • So, we can write :

     x - \frac{3}{19}  =  \frac{2}{17} - x

 ⇒ x + x =  \frac{2}{17} + \frac{3}{19}  

 ⇒ 2x   =  \frac{(19*2) + (17*3)}{323}

 ⇒ 2x   =   \frac{38 + 51}{323}

 ⇒ 2x   =  \frac{89}{323}

 ⇒  x    =   \frac{89}{646}

  • Hence , we can conclude that  \frac{89}{646} is the rational number which is as much as greater than 3/19 as is less than 2/17.
  • A rational number can be defined as a number that is in the form of p/q, where p and q are integers, and q≠ 0. Some of the examples of rational numbers include 1/13, 2/14, 4/51, 9/34, and so on.
  • Zero (“0”) is also a rational number, as we can represent 0 in many forms such as 0/10, 0/12, 0/33, etc.
  • 11/0, 12/0, 13/0, etc. are not rational number. Since the denominator is 0,  they will give us infinite values.

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