Question

Express 4.035 (bar in 35) in p/q form

Answer 1

heya


hope this helps u friend

Answer 2

Answer:

The p/q form of the number 4.035 (bar in 35) is  $\frac{799}{198}$

Step-by-step explanation:

Given : Expression 4.035 (bar in 35)

To find : Express the expression in p/q form?

Solution :

Let the number be $x=4.0353535..$.....(1)

The periodicity in the number is 2.

So, Multiply equation (1) by 100,

$100x=403.53535..$ .......(2)

Subtract equation (1) from (2),

$100x-x=(403.53535..)-(4.0353535..)$

$99x=399.5$

$x=\frac{399.5}{99}$

$x=\frac{3995}{990}$

$x=\frac{799}{198}$

Therefore, The p/q form of the number 4.035 (bar in 35) is  $\frac{799}{198}$