Question

Write the following terminating number in p/q form
0.97777..

Answer 1

Answer:

let x = 0.97777... (1)

multiplying equation 1 by 10 because bar is over one number

so, 10x= 9.7777.. (2)

subtracting equation 2 from 1

we get

9x= 8.8

x= 88/90

x= 44/45

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Answer 2

Answer:

44/45

Step-by-step explanation:

let number be x = 0.97 .........(1)

and single number 7 is recurring so need to multiply with 10 on both sides

10x = 9.7 ...........(2)

subtract (1) from (2)

10x - x = 9.7 - 0.97