Question

Express the following in p/q form :

0.235235235235

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Answer 1

Answer:

Let x=0.2353535…=0.2

35

(1)

Multiply both sides by 100.

100x=100×0.2353535…

100x=23.53535… (2)

Subtract equation (1) from equation (2).

99x=23.53535…−0.2353535…

x=

99

23.3

x=

990

233

Therefore, x=0.2353535…=0.2

35

can be expressed in the form of

q

p

as

990

233

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