Question

express 5.4178 [bar on 178] in the p/q form

Answer 1

Let p/q = 5.4178178178......

Multiply 10 both side:-

10p/q = 54.178178178...... - (i)

Multiply 1000 both side:-

1000p/q = 54178.178178178...... - (ii)

Subtract equation (i) from (ii):-

1000p/q = 54178.178178178......

- 10p/q = 54.178178178......

990p/q = 54124.0

p/q = 54124/990 Ans.