0.6666 in p/q form is:
Enhancing conceptual clarity this document provides NCERT Solutions for Class 9 Mathematics Chapter 1 Number System with MCQ-based questions from the exercise. It includes multiple-choice questions with short answers covering topics like rational and irrational numbers terminating and non-terminating decimals and real numbers. These questions are structured to develop logical thinking and problem-solving skills. Following the NCERT syllabus this resource ensures exam-oriented preparation and easy understanding. It serves as a perfect tool for quick revision self-assessment and strengthening mathematical foundations. By practicing these MCQs students can improve accuracy boost confidence and effectively prepare for their academic evaluations while mastering the number system concepts efficiently.
We are given the repeating decimal 0.6666… and need to express it in the form p/q.
Step 1: Let x = 0.6666…
Step 2: Multiply by 10 to shift the decimal point
10x = 6.666…
Step 3: Subtract the two equations
10x – x = 6.6666… – 0.6666..
9x = 6
Step 4: Solve for x
x = 6/9
Step 5: Simplify the fraction 6/9 = 2/3
Conclusion: The correct answer is 2/3 (option b).
This question related to Chapter 1 Mathematics Class 9th NCERT. From the Chapter 1 Number System. Give answer according to your understanding.
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