Question

Show that 0,235353535..... can be expressed in the form p/q ,where and are integers and q not equal zero

Answer 1

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Answer 2

Hey friend!
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Here is your answer
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Let,

x = 0.23535... - (1)

Multiply (1) with 100:

100x = 100 × 0.23535

100x = 23.53535 - (2)

Now,

Subtract (1) from (2)

100x - x = 23.53535 - 0.23535

99x = 23.3

x = 23.3 ÷ 99

x = 233/990

Your required answer is 233/990
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