Question
Download Solution PDF0.135135.... কে p/q এর আকারে লিখুন।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
0.135135....
অনুসৃত ধারণা:
(p/q) এর আকারের সংখ্যাগুলি হল, যেখানে q ≠ 0 এবং p এবং q হল পূর্ণসংখ্যা যা মূলদ সংখ্যা হিসাবে পরিচিত।
গণনা:
ধরি x = 0.135135.... ----(1)
সমীকরণ (1) কে 1000 দিয়ে গুণ করার পর, আমাদের কাছে আছে
1000x = 135.135.... ----(2)
সমীকরণ (1) কে সমীকরণ (2) থেকে বিয়োগ করার পর, আমরা পাই,
1000x - x = (135.135...) - (0.135135....)
⇒ 999x = 135
⇒ x = 135/999
⇒ x = 45/333
⇒ x = 5/37
∴ 0.135135.... কে p/q এর আকারে 5/37 হিসাবে লেখা যেতে পারে।
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