Question

Express 0.0537 (vinculum/bar over 7) in the form P/Q, where p and q are integers and q is not equal to 0.

Answer 1

Hi ,

Let x = 0.053777...---( 1 )

multiply equation ( 1 ) , with 1000 ,

1000x = 53.777...---( 2 )

multiply equation ( 2 ) with 10 ,

10000x = 537.777...( 3 )

subtract ( 2 ) from ( 3 ), we get

9000x = 537 - 53

9000x = 484

x = 484/ 9000

I hope this helps you.

: )