Question

Express 3.2(bar on 2) in the form of p/q

Answer 1

Let x= 3.2 bar on 2 mark it equation 1
Multiply equation by 10
So, 10*x= 3.2 bar on 2*10
10x= 32.2 bar on 2
Subtract eq 1 from 2
10x-x= 32.2 bar on 2 - 3.2 bar on 2
9x= 29
X= 29\3

Answer 2

p/q form of 3.2(bar on 2) is 29/9  

Given:

3.2(bar on 2)

To find:

Express 3.2(bar on 2) in the form of p/q

Solution:

Given 3.2222.....

We can change the above decimal number as shown below

Let x = 3.2222....----(1)

Multiply (1) with 10

(1) ⇒ 10x = 32.2222....----(2)

Now subtract (1) from (2)

⇒ 10x - x = 32.222... - 3.2222...

⇒ 9x = 29

⇒ x = 29/9  

⇒ 3.2222..... =  29/9  

Therefore,

p/q form of 3.2(bar on 2) is 29/9  

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