Question

Express 1.143 where 43 is under bar in the form of p by q where p and q are integers and q is not equal to 0

Answer 1

Let 1.1434343=x
So, 11.4343= 10x
And 1143.4343=1000x

Subtracting
10x from 1000x = 1143.4343 - 11.4343

990x = 1132

x = 1132/990

( hope you know that 43 under bar means 4343... Infinite times)