Question

write the following in p/q form 9.315 315 3150...


let me know the answer ​

Answer 1

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Answer 2

Step-by-step explanation:

Let x = 9.315315 … = 9. bar 315 …(i) Since, three numbers i.e. 3, 1 and 5 are repeating after the decimal point. Thus, multiplying both sides by 1000, 1000x = 9315.315315… ∴1000x = 9315. bar 315 …(ii) Subtracting (i) from (ii), 1000x – x = 9315. bar 315 - 9. bar 315 ∴ 999x = 9306 iv. Let x = 357.417417… = 357. bar 417…(i) Since, three numbers i.e. 4, 1 and 7 are repeating after the decimal point. Thus, multiplying both sides by 1000, 1000x = 357417.417417… ∴ 1000x = 357417.417 …(ii) Subtracting (i) from (ii), 1000x – x = 357417. bar 417 – 357. bar 417 ∴ 999x = 357060 Read more on Sarthaks.com - https://www.sarthaks.com/846570/write-the-following-numbers-in-form-i-0-555-ii-29-bar-568-iii-9-315315-iv-357-417417-v-30-bar-219