Question
Download Solution PDF\(0.13\overline {241} \) ला \(\frac{p}{q}\) रूपात लिहा, जेथे p आणि q हे पूर्णांक आणि q \( \ne \) 0 आहे.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
मूल्य = \(0.13\overline {241} \) = 0.13241241241......
गणना:
समजा, x = \(0.13\overline {241} \) ........... (1)
समीकरण (1) ला 100 ने गुणा, आपल्याला मिळेल (कारण दोन अंक आहेत ज्यांवर बार नाही)
100x = 13.241241...... (2)
समीकरण (2) ला 1000 ने गुणा, आपल्याला मिळेल ( कारण तेथे तीन अंक आहेत ज्यांवर बार आहे)
100000x = 13241.241241....... (3)
आता समीकरण (2) समीकरण (3) ने वजा करा, आपल्याला मिळेल
99900x = 13228
x = \(\frac{13228}{99900}\)
x चे मूल्य सोपे करून, आपल्याला x = \(\frac{{3307}}{{24975}}\) मिळेल.
म्हणून, योग्य उत्तर \(\frac{{3307}}{{24975}}\) आहे.
Last updated on Jul 18, 2025
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