Question

Express 0.47bar in the form of p/q where p and q are integers and q is not equal to 0

Answer 1

Answer:

The value of  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

Thus, the value of  will be in the form of fraction is 43/90

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Answer 2

Answer:

47/99

Step-by-step explanation:

let take x=0.47bar------eq1

multiple by 100 on both side

100x=47.47bar--------eq2

eq2-eq1

99x=47

X=47/99

p/q=47/99

p=47 ,q=99