Question

Express 0.404040....in the form p/q

Answer 1

hi friend,

let x=0.404040..... ------(1)

periodicity is 2

multiply and divide with 100 on both sides


100x=40.4040.......----(2)


(1)-(2) gives

99x=40

x=40/99

so, 0.404040........can be expressed as 40/99

I hope this will help u ;)

Answer 2

Concept Introduction:

Any quantity of equal parts is represented by a fraction, which also represents a portion of a whole. In ordinary English, a fraction refers to the number of components of a specific size.

Solution:

Given, $0.404040....$

We have to express it in the form of p/q

Let, the number is $x$

$x=0.404040..$

$100x=40.40$

$99x=40$

$x=40/99$

Final Answer:

The final answer is $40/99$

#SPJ2