Question

Who can answer this question with explanation??​

Answer 1

Answer:

hope this helps

please mark as brainlist answer

Answer 2

Answer:

First of all there are infinite rational and irrational no.s between two no.s so we are finding the shortest way to get one of them….

Common Step-

First make the denominator same of both the fractions by multiplying a number which is LCM of both the numbers for examples if the number and denominator is 2 and 3 their LCM would be 6 so we can multiply 2 by 3 to get 6 and 3 by 2 to get 6 ( if it would be 2 and 4 then their LCM would be 4 then we will multiply 2 by 2 and 4 by 1) ….. by multiplication I mean that number will be multiplied to both numerator and denominator thus making no affect on the fraction.

Inserting Rational Number-

Following above , we have 3/6 and 2/6 …now simply put any no. between the numbers of numerator keeping denominator same…like here between 2 and 3…we can put 2.1 or 2.5 or 2.9 ( tip- if question asks five rational no. simply take a series like 2.1,2.2,2.3,2.4,2.5…etc)

if we put 2.1…. required no. would be 2.1/6

if we put 2.9…. required no. would be 2.9/6

(if one or both the numbers are negative or if you are not able to find the number between them then simply take the average of those two numbers that is= Sum of no.s / 2….for 2 no.s)…like in this case it would be 2+3/2 = 5/2 = 2.5

So req no. is 2.5/6….

I think if you just need one no. inserted… average method would be fastest…

Inserting Irrational Number-

Following common step convert fraction as before, now you have 3/6 and 2/3… write numerator as sqare root of a number

example ,2= √4 and 3=√9

So we have √9/6 and √4/6

choose an Irrational no. between the numerator…..like in this case…. √5 or √6 or √7 or √8…

So , Required no.s would be

√5/6 or √6/6 or √7/6 or √8/6 …

I hope it helped….