Question

Express 5.5 bar in rational form​

Answer 1

Answer:

55\10 ( perfect answer)

Step-by-step explanation:

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Answer 2

Answer :

50/9

Solution :

Here ,

We need to convert 5.555.... in the form of p/q where p and q are integers and q≠0 .

Let X = 5.555.... --------(1)

Now ,

Multiplying eq-(1) by 10 , we get ;

=> 10 × X = 10 × 5.555....

=> 10X = 55.555.... --------(2)

Now ,

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

=> 10X - X = 55.555.... – 5.555....

=> 9X = 50

=> X = 50/9

=> 5.555.... = 50/9

Hence ,

5.555.... = 50/9