Question

(b) What is 0.36 (six repeating) expressed as a fraction in simplest form?

Answer 1

 0.3666.....

If a number is repeating singly, just know it has to do with dividing by 9.

Let the number be x = 0.36....  (i)

Multiply both sides by 10.

10x = 3.66...         (ii)

Equation (ii) - (i)

10x - x = 3.66 - 0.36

9x = 3.3

x = 3.3/9

x = (33/10)*(1/9)

x = 33/90

x = 11/30

The simplest fraction is 11/30