Question

Express 3.42555555555..... in the form p/q where p and q are integers, q is not equal to 0

Answer 1

Let a = 3.425555.......
So, 1000 a = 3425.5555...... &
100 a = 342.555......
=> (1000 - 100) a = 3425 - 342 = 3083
=> a = 3083/ 900
Therefore, 3.42555..... = 3083/900