Question

Express the following in form p/q are integers and q does not equal to 0

(1) 0.6 bar on 6

(2) 0.001 bar on 001​

Answer 1

Answer:

(i) x = 0.6

10x = 6.66.....

→ 10x - x = 6.6.... - 0.6....

9x = 6

x = 6

9

x = 2

3

(ii) x = 0.001

1000x = 1.111...

→ 1000x - x = 1.111... - 0.001

999x = 111

x = 111

999

x = 1

9