Express each of the following decimals in the rational form
(P/q) 12.bar28
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Answer:
Number in p/q form is 12.\bar{28}=\frac{1216}{99}12.
28
ˉ
=
99
1216
Step-by-step explanation:
Given : Number 12.28 bar.
To find : Express 12.28 bar in rational form p/q?
Solution :
Let x=12.\bar{28}x=12.
28
ˉ
x=12.282828...x=12.282828... .....(1)
Multiply equation (1) by 100,
100x=1228.2828...100x=1228.2828... ......(2)
Subtract equation (1) and (2),
100x-x=(1228.2828...)-(12.282828...)100x−x=(1228.2828...)−(12.282828...)
99x=121699x=1216
x=\frac{1216}{99}x=
99
1216
Therefore, Number in p/q form is 12.\bar{28}=\frac{1216}{99}12.
28
ˉ
=
99
1216
Step-by-step explanation:
Hope it helps you
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