Question

Find the value of 1.999... in the form p/q, where p and q are integers and q not equal to 0

Answer 1

let x= 1.9999...-----(1)
multiply (1) with 10
10x = 19.9999.....(2)
subtract (1) from (2)

9x =18
x=18/9
x= 2/1 =p/q form

Answer 2

Answer:

2

Step-by-step explanation:

Number = 1.999 (Given)

Integers = p and g = form = p/q

Q is not equal to 0,

Thus,

Let the value of x be = 1.9999 ---( 1 )

Multiply equation ( 1 ) with 10

10x = 19.9999 --- ( 2 )

Subtracting equation ( 1 ) from equation ( 2 ) -

10x = 19.9999

- x = 1. 9999

9x = 18=

x = 18 / 9

x = 2

Therefore the value of -

x = 1.9999 = 2.