Question

Express the following in the form of p/q
(a)0.169 with bar on 69
(b)3.8 bar

Answer 1

Step-by-step explanation:

let x=0.169 bar on 69

multiply by 10 on both side

10*x=10*0.169bar

10x=1.69bar.

10x=1.696969.... (say equ. 1st)

multiply equ. 1st by 100

1000x=100*1.696969....

1000x=169.696969..say equ 2nd

subtracting 1st from 3nd

1000x-10x=169.696969...-1.696969..

990x=168.00

x=168/990

x=84/495

b

3,8bar

let x=3.8888..say equ 1sr

multiply equ 1st by 10

10x=38.888..say equ 2nd

subtracting 1st from 2nd

10x-x=38.888..-3.8888

9x=35.00

x=35/9