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Byju's Answer
Standard X
Mathematics
Sum of Infinite Terms
Express each ...
Question
Express each of the following as a fraction in simplest form :
2.
¯
4
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Solution
x
=
2.
¯
4
then,
x
=
2.4444....
−
−
−
−
−
−
−
(
1
)
∴
10
x
=
24.444...
−
−
−
−
−
−
−
−
(
2
)
On subtracting (1) from (2) we get,
9
x
=
22
⇒
x
=
22
9
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