Express the number in the form of rational number a/b.

x = 0.3178178.... (i)

Multiply 10 on both sides-

10x = 3.178178... (ii)

Multiply 100 on both sides-

100x = 31.78178.... (iii)

Multiply 1000 on both sides-

1000x = 317.8178..... (iv)

Multiply 10, 000 on both sides-

10000x = 3178.178178 (v)

Subtract (ii) from (v)

10000x-10x = 3178.178178..... - 3.178178....

9990x = 3175

Hence, x =