Question

Express 0.474747..in p/q form​

Answer 1

Step-by-step explanation:

Let x=0.4747.... 

The periodicity of the decimal is 2, therefore, multiply x by 100 as shown below:

100 × x =100×0.4747....⇒100x =47.474747....

Now, we find the value of x in the form of fraction as shown below:

100x−x=(47.474747....)−(0.4747....)

⇒99x=47

⇒x=99/47 

Hence, 0.4747....=99/47.