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Byju's Answer
Standard VI
Mathematics
Fractions
Show that 1...
Question
Show that
1.
¯
¯¯¯¯
¯
34
can be expressed in the form
p
q
, where
p
and
q
are integers and
q
≠
o
.
Open in App
Solution
Let the given number be,
x
=
1.
¯
34
x
=
1.34343434...
.
.
.
.
.
(
i
)
On multiplying
100
on both sides, we get:
100
x
=
134.343434...
.
.
.
.
(
i
i
)
Subtracting
(
i
)
from
(
i
i
)
, we get:
100
x
−
x
=
134.343434...
−
1.343434...
=
133
⇒
99
x
=
133
∴
x
=
133
99
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