Question

convert 5.126 (bar above 126) into decimal form​

Answer 1

Answer:

  ___

5.126

Step-by-step explanation:

its what you have

Answer 2

Answer :

5.126126126 . . . = 569/111

Solution :

Here ,

We need to convert 5.126126126 . . . in the form p/q where p and q are integers and q ≠ 0 .

Let X = 5.126126126 . . . ----------(1)

Now ,

Multiplying eq-(1) by 1000 , we get ;

=> 1000 × X = 100 × 5.126126126 . . .

=> 1000X = 5126.126126126 . . . ----------(2)

Now ,

Subtracting eq-(1) from eq-(2) , we get ;

=> 1000X - X = 5126.126126126 . . .

– 5.126126126 . . .

=> 999X = 5121

=> X = 5121/999

=> X = 569/111

=> 5.126126126 . . . = 569/111

Hence ,

5.126126126 . . . = 569/111