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Express the following as a rational number in its simplest form: 0.bar(12)

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Questions

Express the following as a rational number in its simplest form:

`0.bar(12)`

Express the following as a fraction in simplest form.

`0.bar(12)`

Simplify
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Solution

Let x = `0.bar(12)`

∴ x = 0.1212   ...(1)

100x = 12.1212   ...(2)

On subtracting equation (1) from (2), we get

99x = 12

⇒ `x = 4/33`

∴ `0.12 = bar(4)/33`

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Chapter 1: Real Numbers - EXERCISE 1C [Page 26]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 1 Real Numbers
EXERCISE 1C | Q 3. (iv) | Page 26
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