Question

Express 5.347 in the form of p/q where p and q are integers and q is not equal to 0 bar on 347

Answer 1

let
x=5.bar on 347-(i)
10× x= 10×5.bar on 347
i.e.,10×=53.4734747347...........
100×x=100×5.bar on 347
100x=534.7347347347.....-(ii)

1000×x=1000x5.bar on 347
1000x=5347.347347347347......-(iii)

subtracting (i) from (iii) we get

999x=5342/999

Answer 2

Answer:

x=5.347347...

Step-by-step explanation:

1000x=1000*5.347347

1000x=5347.347347

1000x=5342+5.347

1000x=5342+x

1000x-x=5342

999x=5342

x=5342/999

x=5.347347