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Show that 0.3333..... =0.3 can be expressed in the form of p/q
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3
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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.
....
Answered by
1
Answer:
Myself.... VIVEK
from jharkhand..
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