Question

express each of the following decimals in rational from p/q

Answer 1

1) let x = 0.9bar. .....(i)
10 x = 9.9bar. ......(ii)
eqn ii -i
9x = 9
so,
x = 1
2) let x = 0.57bar
100x = 57.57bar
again, subtracting both
so
99x = 57
x = 57/99