Question

Express 0.3333... in the from of p/q​

Answer 1

Answer:

Let, x=0.3333333...........=0.3ˉ          .....(i)

Multiplying on both sides by '10' we get,

10x=3.333333...........=3.3ˉ          .........(ii)

Subtract (i) from (ii) we get,

9x=3.0000000........=3

x=93=31

I.e., 0.33333........=0.3ˉ=31

Which is in the form of qp. Where p and q are integers.

Step-by-step explanation:

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Answer 2

$x = 0.333.....$ ---1eq

$10x = 3.333...$----2eq

$1eq - 2eq$

$10x = 3.333.... - x = 0.333.....$

$9x = 3$

$x = \frac{3}{9}$

$So, \: x = \frac{1}{3}$

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