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

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

#### Solution

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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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 1 Number Systems
Exercise 1.3 | Q 2.2 | Page 22