हिंदी

Write the following rational number in p/q form. 0.bar37

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प्रश्न

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

`0.bar37`

योग
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उत्तर

Let x = `0.bar37`  ...(1)

Multiplying both sides by 100, we get

100x = `37.bar37`  ...(2)

Subtracting (1) from (2), we get

∴ `100x - x = 37.bar37 - 0.bar37`

∴ 99x = 37 

`therefore x = 37/99`

So, `0.bar37 = 37/99`

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अध्याय 2: Real Numbers - Practice Set 2.1 [पृष्ठ २१]

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बालभारती Mathematics 1 [English] Standard 9 Maharashtra State Board
अध्याय 2 Real Numbers
Practice Set 2.1 | Q 3. (ii) | पृष्ठ २१

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