मराठी

Express the Following Decimal in the Form `P/Q`: `0.Bar37` - Mathematics

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प्रश्न

Express the following decimal in the form `p/q`: `0.bar37`

उत्तर

Let `x=0.bar37`

⇒ x = 0.373737...

⇒ 100x = 37.3737...

⇒ 100x = 37 + 0.3737...

⇒ 100x = 37 + x

⇒ 100x - x = 37

⇒ 99x = 37

⇒ x = 37/99

Hence, `0.bar37=37/99`

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पाठ 1: Number Systems - Exercise 1.3 [पृष्ठ २२]

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आरडी शर्मा Mathematics [English] Class 9
पाठ 1 Number Systems
Exercise 1.3 | Q 2.2 | पृष्ठ २२
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