Question

express 0.47 ( bar on 7) in the form of p/q

Answer 1

Answer:

The value of $0.4\overline7$ will be in the form of fraction is 43/90

To find:

$\frac {p}{q} = ??$

Solution:

Given : We have to express 0.47 (bar on 7) in the form of p/q.

Let us assume that  

x = 0.47777  

Multiplying both the sides by 10, we get

10x = 4.7777 ---------(1)

Multiplying both the sides by 100, we get

100x = 47.777 ---------(2)

Subtract equation (2) and (1),

100x = 47.777

10x =   4.777

90x = 43.000

$x =\frac {43}{90}$

Thus, the value of $0.4\overline 7$ will be in the form of fraction is 43/90

Answer 2

Answer:

p / q = 43 / 90

Step-by-step explanation:

Let say :

$\displaystyle \sf a=0.4\bar{7}$

Now we can write 10 a :

10 a = 4.77777 ..............  ( i )

Also 100 a :

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

Hence we get required answer.