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Write the Following Numbers in P/Q Form - Algebra

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Sum

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

357.417417...

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Solution

357.417417...

Since , 357.417417... = 357.417

Let x = 357.417          ...(1) 

Multiplying both sides by 1000, we get 

1000 x = 357357.417     ... (2)

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

⇒ 999 x = 357060

⇒ `x = 357060/ 999`

`therefore` 357.417 =`119020 / 333`

Concept: Properties of Real Numbers
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APPEARS IN

Balbharati Mathematics 1 Algebra 9th Standard Maharashtra State Board
Chapter 2 Real Numbers
Problem Set 2 | Q 2.4 | Page 35
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