Maharashtra State BoardSSC (English Medium) 9th Standard
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Write the Following Numbers in P/Q Form. - Algebra

Sum

Write the following numbers in `p/q` form.

`9.315315...`

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Solution

`9.315315...`

Since , `9.315315... = 9.315`

Let x = 9.315    ...(1)

Multiplying both sides by 1000, we get

1000x = 9315.315   ...(2)

By subtracting (1) from (2), we get

⇒ 999 x = 9306

`⇒ x = 9306/999` 

`therefore` 9.315 = `1034/111` 

Concept: Decimal Representation to Identify Irrational Numbers
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APPEARS IN

Balbharati Mathematics 1 Algebra 9th Standard Maharashtra State Board
Chapter 2 Real Numbers
Problem Set 2 | Q 2.3 | Page 35
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