1.

_Show that 0.3333..... =0.3 can be expressed in the form of p/q ​

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<P>Answer:

MATHS

Show that 0.3333.....=0.

3

ˉ

can be EXPRESSED in the form

Q

p

, where p and q are integers and q

=0.

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ANSWER

Let, x=0.3333333...........=0.

3

ˉ

.....(i)

Multiplying on both sides by '10' we get,

10x=3.333333...........=3.

3

ˉ

.........(ii)

Subtract (i) from (ii) we get,

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

x=

9

3

=

3

1

I.e., 0.33333........=0.

3

ˉ

=

3

1

Which is in the form of

q

p

. Where p and q are integers.

....


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