Advertisement Remove all ads

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

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

Advertisement Remove all ads

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`

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 1 Number Systems
Exercise 1.3 | Q 2.2 | Page 22
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×