(a) what is 0.36 repeating 36 expressed as a fraction in simplest form? (b) what is 0.36 repeating 6 expressed as a fraction in simplest form? (c) what is expressed 0.36 as a fraction in simplest form?

a)    

b)  

c)  

Step-by-step explanation:

(a) Given : 0.36 repeating 36

To find : What is 0.36 repeating 36 expressed as a fraction in simplest form?

Solution :

Let   ......(1)

Now as there are two digits repeating immediately after decimal point, we multiply above by  100  and get,

 .....(2)

Subtract equation (1) from (2),

(b) Given : 0.36 repeating 6

To find : What is 0.36 repeating 6 expressed as a fraction in simplest form?

Solution :

Let   ......(1)

Now as there are one digits repeating immediately after decimal point, we multiply above by  10  and get,

 .....(2)

Subtract equation (1) from (2),

(c) Given : 0.36

To find : What is expressed 0.36 as a fraction in simplest form?

Solution :

Let