Number Systems · Class 9 · CBSE Mathematics
Express 0.36 (with 36 repeating) in the form p/q, where p and q are integers and q neq 0.
Practice question from Number Systems (Class 9 · CBSE Mathematics), with the correct answer and a step-by-step solution.
medium · MCQ · Q-2684D8
Express (with 36 repeating) in the form , where and are integers and .
- A.36/99
- B.36/100
- C.4/11
- D.Both A and CCorrect answer
Solution
Let (Equation 1). Multiplying both sides by 100, we get (Equation 2). Subtracting Equation 1 from Equation 2 gives , so . Simplifying by dividing numerator and denominator by 9 gives . Hence both options A and C are correct.
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