Question

Express 1.143 bar in the form of p and q where p and q are integers and q are not equal to zero

Answer 1

Answer:

1.143 bar = 566/495

Step-by-step explanation:

Let 1.1434343=x  

So, 11.4343= 10x  

And 1143.4343=1000x  

Subtracting  10x from 1000x, 1000x - 10x = 1143.4343 - 11.4343  

990x = 1132  

x = 1132/990 = 566/495

Answer 2

Answer:

1.143 bar in the form if p/q is 566/495.

Step-by-step explanation:

Let x = 1.1434343      

1.143 bar is represented to recurring decimal.

Where recurring decimal is a form, after decimal point two digit number will keep repeating.    

 

In order to simplify, multiply by 10 and 1000, we get          

On multiplying x with 10 and 1000, we get

So 10x = 11.434343

And 1000x = 1143.4343

Subtracting 10x from 1000x

1000x-10x = 1143.4343-11.4343

990x= 1132

X=1132/990

X=566/495

Therefore 1.143 bar in the form if p/q is 566/495.