Question

Find two rational and irrational numbers between 1/8 and 2/9​

Answer 1

Answer:

41/216,7/216

Step-by-step explanation:

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Let x = 1/8 ; y = 2/9

y > x ; n = 2

d = y - x/n + 1

= (2/9 - 1/8)/(2 + 1)

= (16 - 9/72)/3

= 7/72 ÷ 3

= 7/72 × 1/3

= 7/216

1st rational number = x + d

= 1/8 + 7/216

= 27 + 7/216

= 34/216

2nd rational number = x + 2d

= 1/8 + 2 × 7/216

= 1/8 + 14/216

= 27 + 14/216

= 41/216

Answer 2

Answer:

1/8=0.12

2/9=0.22

rational:0.14,0.15,0.16 etc

irrational:0.133434334333.,0.154545545545555...