Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Express the following in the form p/q, where p and q are integers and q ≠ 0. (i) 0 point 6 bar

3. Express the following in the form \frac{p}{q} , where p and q are integers and q ≠ 0.

(i)      0.\bar{6}

Answers (1)

best_answer

Let x = 0.\overline6= 0.6666....             -(i)

Now, multiply by 10 on both sides

10x= 6.6666...

\Rightarrow 10x = 6 + x \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \(using \ (i))

\Rightarrow 9x = 6

\Rightarrow x = \frac{6}{9} = \frac{2}{3}

Therefore,  \frac{p}{q}  form of  0.\bar{6}  is  \frac{2}{3}

Posted by

Gautam harsolia

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE Date Sheet 2027 LIVE: Class 10, 12 exam dates soon at cbse.gov.in; two board exam system, updates
anam-khan

CBSE Board Exams 2027: Registration, LOC submission to begin shortly; schools to verify student details

Latest Question