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Express the following as a rational number in its simplest form: 2.bar(4)

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Questions

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

`2.bar(4)`

Express the following as a fraction in simplest form.

`2.bar(4)`

Simplify
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Solution

Let x = `2.bar(4)`

∴ x = 2.444   ...(1)

10x = 24.444   ...(2)

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

9x = 22

⇒ `x = 22/9`

∴ `2.4 = bar(22)/9`

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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. (ii) | Page 26
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