हिंदी

Write the following rational number in p/q form. 15.bar89

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प्रश्न

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

`15.bar89`

योग
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उत्तर

Let x = `15.bar89`    ...(1)

Multiplying both sides by 100, we get

100x = `1589.bar89`   ...(2)

Subtracting (1) from (2), we get

∴ 100x − x = `1589.bar89 − 15.bar89`

∴ 99x = 1574

`therefore x =  1574/99 `

So, `15.bar89 = 1574/99`

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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. (iv) | पृष्ठ २१

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