Question

Show that 0.3333.... can be expressed in the form p/q, where p and Q are and
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Answer 1

Answer:

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Answer 2

AnSwer -:


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The answer is 1/3

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We have to convert 0.333.... into p/q

form.
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Step by Step Explanation-:


Let x -: 0.3333333....... (1)

Then ,

10 x = 3.3333333......(2)

Now ,

Subtract (i) and (ii)

Then ,

10x - x = 3.33333..... - 0.333333.......

9x = 3.33333..... - 0.333333.......

9x = 3

X = 3/9

X = 1/3

Therefore,

0.3333... = 1/3

We had converted 0.33333.... into p/q

form where p and q are integers and not

equal to zero.

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The answer is 1/3

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