Question

6 rational number between 2/3 and 3/4n

Answer 1

Answer:

2/3=2×4/3×4=8/12=8×12/12×12=96/144

3/4=3×3/4×3=9/12=9×12/12×12=108/144

Therefore, 6 rational numbers are 97/144,98/144,99/144,100/144,101/144

102/144

Step-by-step explanation:

Answer 2

Answer:

57/84 , 58/84 , 59/84 , 60/84 , 61/84 , 62/84 .

For solution , please refer to the attachment .

Working rule for finding n rational numbers between two rational numbers using mean method :

★ Let the smaller no. be x and greater no. be y .

★ Find d using the formula ;

d = (y - x)/(n + 1) , where n is the number of Rational numbers between x and y .

★ Then the required rational numbers will be given as ;

1st no. = x + d

2nd no. = x + 2d

3rd no. = x + 3d

:

:

nth no. = x + nd