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Maharashtra State BoardSSC (English Medium) 9th Standard

Write the following rational numbers in p/q form. 3.bar17

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Question

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

`3.bar17`

Sum
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Solution

Let x = 3.17      ...(1)

Multiplying both sides by 100, we get

100x = 317.17     ...(2)

Subtracting (1) from (2), we get

∴ 100x - x = 317.17  - 3.17

∴  99x = 314 

`therefore x = 314/99`

So, 3.17 = `314/99`

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Chapter 2: Real Numbers - Practice Set 2.1 [Page 21]

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Balbharati Mathematics 1 [English] Standard 9 Maharashtra State Board
Chapter 2 Real Numbers
Practice Set 2.1 | Q 3. (iii) | Page 21

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