Tính A=3/54+5/126+7/294+8/609
A = 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+ 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+ 7https:https:https://hoc247.net/image/faq/data2/710107_.https://hoc247.net/image/faq/data2/710107_.hoc247.nethttps://hoc247.net/image/faq/data2/710107_.imagehttps://hoc247.net/image/faq/data2/710107_.faqhttps://hoc247.net/image/faq/data2/710107_.data2https://hoc247.net/image/faq/data2/710107_.185200_.https:https://hoc247.net/image/faq/data2/710107_.https://hoc247.net/image/faq/data2/710107_.hoc247.nethttps://hoc247.net/image/faq/data2/710107_.imagehttps://hoc247.net/image/faq/data2/710107_.faqhttps://hoc247.net/image/faq/data2/710107_.data2https://hoc247.net/image/faq/data2/710107_.185200_.hoc247.nethttps:https://hoc247.net/image/faq/data2/710107_.https://hoc247.net/image/faq/data2/710107_.hoc247.nethttps://hoc247.net/image/faq/data2/710107_.imagehttps://hoc247.net/image/faq/data2/710107_.faqhttps://hoc247.net/image/faq/data2/710107_.data2https://hoc247.net/image/faq/data2/710107_.185200_.imagehttps:https://hoc247.net/image/faq/data2/710107_.https://hoc247.net/image/faq/data2/710107_.hoc247.nethttps://hoc247.net/image/faq/data2/710107_.imagehttps://hoc247.net/image/faq/data2/710107_.faqhttps://hoc247.net/image/faq/data2/710107_.data2https://hoc247.net/image/faq/data2/710107_.185200_.faqhttps:https://hoc247.net/image/faq/data2/710107_.https://hoc247.net/image/faq/data2/710107_.hoc247.nethttps://hoc247.net/image/faq/data2/710107_.imagehttps://hoc247.net/image/faq/data2/710107_.faqhttps://hoc247.net/image/faq/data2/710107_.data2https://hoc247.net/image/faq/data2/710107_.185200_.data2https:https://hoc247.net/image/faq/data2/710107_.https://hoc247.net/image/faq/data2/710107_.hoc247.nethttps://hoc247.net/image/faq/data2/710107_.imagehttps://hoc247.net/image/faq/data2/710107_.faqhttps://hoc247.net/image/faq/data2/710107_.data2https://hoc247.net/image/faq/data2/710107_.185200_.775362_.294 + 8https:https:https://hoc247.net/image/faq/data2/710107_.https://hoc247.net/image/faq/data2/710107_.hoc247.nethttps://hoc247.net/image/faq/data2/710107_.imagehttps://hoc247.net/image/faq/data2/710107_.faqhttps://hoc247.net/image/faq/data2/710107_.data2https://hoc247.net/image/faq/data2/710107_.185200_.https:https://hoc247.net/image/faq/data2/710107_.https://hoc247.net/image/faq/data2/710107_.hoc247.nethttps://hoc247.net/image/faq/data2/710107_.imagehttps://hoc247.net/image/faq/data2/710107_.faqhttps://hoc247.net/image/faq/data2/710107_.data2https://hoc247.net/image/faq/data2/710107_.185200_.hoc247.nethttps:https://hoc247.net/image/faq/data2/710107_.https://hoc247.net/image/faq/data2/710107_.hoc247.nethttps://hoc247.net/image/faq/data2/710107_.imagehttps://hoc247.net/image/faq/data2/710107_.faqhttps://hoc247.net/image/faq/data2/710107_.data2https://hoc247.net/image/faq/data2/710107_.185200_.imagehttps:https://hoc247.net/image/faq/data2/710107_.https://hoc247.net/image/faq/data2/710107_.hoc247.nethttps://hoc247.net/image/faq/data2/710107_.imagehttps://hoc247.net/image/faq/data2/710107_.faqhttps://hoc247.net/image/faq/data2/710107_.data2https://hoc247.net/image/faq/data2/710107_.185200_.faqhttps:https://hoc247.net/image/faq/data2/710107_.https://hoc247.net/image/faq/data2/710107_.hoc247.nethttps://hoc247.net/image/faq/data2/710107_.imagehttps://hoc247.net/image/faq/data2/710107_.faqhttps://hoc247.net/image/faq/data2/710107_.data2https://hoc247.net/image/faq/data2/710107_.185200_.data2https:https://hoc247.net/image/faq/data2/710107_.https://hoc247.net/image/faq/data2/710107_.hoc247.nethttps://hoc247.net/image/faq/data2/710107_.imagehttps://hoc247.net/image/faq/data2/710107_.faqhttps://hoc247.net/image/faq/data2/710107_.data2https://hoc247.net/image/faq/data2/710107_.185200_.775362_.609 TÍNH BẰNG CÁCH THUẬN TIỆN NHẤT
Trả lời (1)
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\(A=\frac{3}{54}+\frac{5}{126}+\frac{7}{294}+\frac{8}{609}\)
\(\Rightarrow A=\frac{3}{9.6}+\frac{5}{2.7.9}+\frac{7}{7.7.6}+\frac{8}{3.7.29}\)
\(\Rightarrow A=\frac{1}{18}+\frac{5}{7.18}+\frac{1}{6.7}+\frac{8}{3.7.29}\)
\(\Rightarrow A=\frac{7+5}{7.18}+\frac{1}{6.7}+\frac{8}{3.7.29}\)
\(\Rightarrow A=\frac{2}{7.3}+\frac{1}{6.7}+\frac{8}{3.7.29}\)
\(\Rightarrow A=\frac{1}{3.7}\left(\frac{2}{1}+\frac{1}{2}+\frac{8}{29}\right)\)
\(\Rightarrow A=\frac{1}{21}\left(\frac{116+29+16}{58}\right)\)
\(\Rightarrow A=\frac{1}{21}.\frac{161}{58}\)
\(\Rightarrow A=\frac{161}{1218}=\frac{23}{174}\)
Vậy \(A=\frac{23}{174}\)
bởi Hoàng Huyền
26/12/2018
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