Question

1.999 (bar on 9) p/q form​

Answer 1

CORRECT QUESTION

Express 1.999 in the form of p/q where q≠0

CORRECT SOLUTION

Let x = 1.9999 ﹍﹍(Ⅰ)

Then ,

10 x = 19.9999 ﹍﹍(Ⅱ)

Substracting equation (Ⅰ) from (Ⅱ)

10x = 19.9999

x = 1.9999

━━━━━━━━━

9x = 18

━━━━━━━━━

So , 9x = 18

x = 18/9

x = 2

∴ x = 1.999﹍﹍ = 2

Now , we can represent 2 in p/q form as 2/1 also q≠0 !