Question

Represent 0.4 bar 7 on fraction

Answer 1

Answer:

Let x=0.4 bar 7

Multiply by 10 in both sides

10 a = 4.77777 .............. ( i )

Again multiply by 10 in both sides

100 a = 47.77777 .............. ( ii )

Now on subtracting [ ( ii ) - ( i ) ] we get :

100 a - 10 a = 47 - 4

= > 90 a = 43

= > a = 43/90

Required form as :

= > p/q = 43/90