Question
Download Solution PDF0.135135....ని p/q రూపంలో రాయండి.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇవ్వబడింది:
0.135135....
వాడిన కాన్సెప్ట్
సంఖ్యలు (p/q) రూపంలో ఉన్నాయి, ఇక్కడ q ≠ 0 మరియు p , q లు వాస్తవసంఖ్యలు అని పిలవబడే పూర్ణసంఖ్యలు.
లెక్క:
x = 0.135135.... అనుకోండి ----(1)
సమీకరణం (1) ని 1000 తో గుణిస్తే, మనకి వచ్చేది
1000x = 135.135.... ----(2)
సమీకరణం (2) నుండి సమీకరణం (1) ని తీసివేస్తే, మనకి వస్తుంది
1000x - x = (135.135...) - (0.135135....)
⇒ 999x = 135
⇒ x = 135/999
⇒ x = 45/333
⇒ x = 5/37
∴ 0.135135.... ని p/q రూపంలో 5/37 గా రాయవచ్చు.
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