NCERT · Class 9 · Mathematics · Number SystemsThe value of $0.\overline{3}$ in the form $p/q$, where $p$ and $q$ are integers and $q \neq 0$, is:
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Total Attempts: 3
Accuracy Rate: 66.7%
Step-by-Step Solution
Let $x = 0.333...$ (1). Multiplying by 10, $10x = 3.333...$ (2). Subtracting (1) from (2), we get $9x = 3$, which gives $x = 3/9 = 1/3$.
Detailed Options Breakdown
Option : \frac{1}{3} (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: \frac{3}{10}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Number Systems.
Option 2: \frac{1}{9}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Number Systems.
Option 3: \frac{3}{99}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Number Systems.
💡 Study Guide: This question tests core syllabus concepts from Number Systems. For formulas, key summaries, and mock exam reference guides, read the full Number Systems Revision Notes.