please give easy trick
Answers
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here is your answer
1) find 6 rational nos between 6/7 and 8/9
6/7 and 8/9
⇒so we need to make the denomitors same in order to make it we need to take the lcm of 7 and 9
⇒ lcm of 7 and 9= 63 multiply denomitor and numerator
⇒ 6*9/7*9 and 8*7/9*7
⇒ 54/ 63 and 56/63
⇒ but this we will get only 2 rational number in order to get the number we need to again multiply by 10,100,1000
54*10/63*10 and 56*10/63*10
540 /630 and 560/630
∴ the six rational number between 6/7 and 8/9 are 541/630,542/630,543/630,544/630,545/630,546/630
2) the solution is in the attachtment below
3) find three irrational numbers between the rational numbers 5/7 and 9/11
5/7 and 9/11
⇒first we need to divide both the numbers 5/7= 0.714285714285 and 9/11=0.818181
⇒ these two number are called recurring numbers
∴ three irrational nos are 0.72131234123451234561234567... and 0. 75676786789678910.......
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hope this helped u a lot
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sorry for the delay it takes too much time for typing