Class 9 Exam  >  Class 9 Questions  >  Express the following in the form of p/q wher... Start Learning for Free
Express the following in the form of p/q wherepand qare integers and q = 0 (1)0.6 bar?
Most Upvoted Answer
Express the following in the form of p/q wherepand qare integers and q...
Expressing 0.6 bar as p/q where p and q are integers and q ≠ 0


Understanding 0.6 bar


0.6 bar means that the decimal 0.6 repeats infinitely. This can be represented using a notation as follows:


0.6
6
= 0.666666...


To express it as a fraction, we can use the following steps:


Converting 0.6 bar to a fraction



  1. Let x = 0.6 bar

  2. Multiply both sides by 10 to shift the decimal point to the right: 10x = 6.6 bar

  3. Subtract the first equation from the second equation to eliminate the repeating decimal: 10x - x = 6.6 bar - 0.6 bar

  4. Simplify: 9x = 6

  5. Divide both sides by 9: x = 2/3



Expressing 0.6 bar as p/q


From the previous step, we know that 0.6 bar can be expressed as 2/3. Therefore, we can say:


0.6
6
= 2/3


Thus, 0.6 bar can be expressed as p/q where p=2 and q=3. Hence, the required answer is:


0.6 bar = 2/3
Community Answer
Express the following in the form of p/q wherepand qare integers and q...
0.6
Let x be = 0.6 -1
multiply equation 1 x 10 ( as we have one digit under bar )
10 multiply X = 6.6 -2

equation 2 - 1
10x-x = 6.6-0.6
9x =6
x= 6/9
x= 2/3



Thank you !
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
Explore Courses for Class 9 exam

Top Courses for Class 9

Express the following in the form of p/q wherepand qare integers and q = 0 (1)0.6 bar?
Question Description
Express the following in the form of p/q wherepand qare integers and q = 0 (1)0.6 bar? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Express the following in the form of p/q wherepand qare integers and q = 0 (1)0.6 bar? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Express the following in the form of p/q wherepand qare integers and q = 0 (1)0.6 bar?.
Solutions for Express the following in the form of p/q wherepand qare integers and q = 0 (1)0.6 bar? in English & in Hindi are available as part of our courses for Class 9. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of Express the following in the form of p/q wherepand qare integers and q = 0 (1)0.6 bar? defined & explained in the simplest way possible. Besides giving the explanation of Express the following in the form of p/q wherepand qare integers and q = 0 (1)0.6 bar?, a detailed solution for Express the following in the form of p/q wherepand qare integers and q = 0 (1)0.6 bar? has been provided alongside types of Express the following in the form of p/q wherepand qare integers and q = 0 (1)0.6 bar? theory, EduRev gives you an ample number of questions to practice Express the following in the form of p/q wherepand qare integers and q = 0 (1)0.6 bar? tests, examples and also practice Class 9 tests.
Explore Courses for Class 9 exam

Top Courses for Class 9

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev