Question
Download Solution PDF0.135135.... ला p/q च्या रूपात लिहा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
0.135135....
वापरलेली संकल्पना:
स्वरुपांची संख्या (p/q), जिथे q ≠ 0 आणि p आणि q पूर्णांक आहेत त्यांना परिमेय संख्या म्हणून ओळखले जाते.
गणना:
चला x = 0.135135.... ----(1)
समीकरण (1) ला 1000 ने गुणा, आपल्याकडे आहे
1000x = 135.135.... ----(2)
समीकरण (2) मधून समीकरण (1) वजा करा, आपल्याकडे आहे
1000x - x = (135.135...) - (0.135135....)
⇒ 999x = 135
⇒ x = 135/999
⇒ x = 45/333
⇒ x = 5/37
∴ 0.135135.... p/q च्या स्वरूपात 5/37 लिहिता येईल.
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