Question

express 0.45454545........ in p/q form where p and q are co primes

Answer 1

let 0.454545.... be x
:. 100x=45.454545.....
100x-x=45.454545....-0.454545...
:.99x=45.45'-0.45'
:.99x=45.0
:.x=45/99
:.x=5/11


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Answer 2

The p/q form is $\dfrac{5}{11}$

Step-by-step explanation:

Since we have given that

x = 0.454545...................----------------(1)

Multiplying 100 on both sides,

100x=45.454545.....................----------------(2)

Subtracting (2) from (1), we get that

100x-x=45.454545...-0.454545....

99x=45

$x=\dfrac{45}{99}\\\\x=\dfrac{5}{11}$

Hence, the p/q form is $\dfrac{5}{11}$

# learn more:

https://brainly.in/question/12135756

30. Which one of the following is an irrational

number? -

(a) 159049

(b) 231/593

(c) 0.45454545......

(d) 0.12112211122211112222.