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Ta có : \(A=\frac{5}{2}+\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{468}\)
\(\Leftrightarrow\frac{1}{3}A=\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{468}+\frac{5}{1458}\)
\(\Leftrightarrow A-\frac{1}{3}A=\frac{5}{2}-\frac{5}{1458}\)
\(\Leftrightarrow\frac{2}{3}A=\frac{5}{2}-\frac{5}{1458}\)
\(\Leftrightarrow\frac{2}{3}A=\frac{1820}{729}\)
\(\Leftrightarrow A=\frac{1820}{729}.\frac{3}{2}=\frac{910}{243}\)
C=5/2+5/6+5/18+5/54+5/162+5/486
C=1215/486+405/486+135/486+45/486+15/486+5/486
C=1215+405+135+45+15+5/486
C=1820/486=910/243
\(\dfrac{5}{2}+\dfrac{5}{6}+\dfrac{5}{18}+\dfrac{5}{54}+\dfrac{5}{162}+\dfrac{5}{486}\)
\(=\dfrac{5.243}{486}+\dfrac{5.81}{486}+\dfrac{5.27}{486}+\dfrac{5.9}{486}+\dfrac{5.3}{486}+\dfrac{5}{486}\)
\(=\dfrac{1215+405+135+45+15+5}{486}\)
\(=\dfrac{1820}{486}=\dfrac{910}{243}\)
a) 8697-(37:35+2(13-3)
=8697-(32+2.13-2.3)
=8697-(9+26-6)
=8697-29
=8668
b) 2010-2000:(486-2(72-6))
=2010-2000:(486-(2.49-2.6))
=2010-2000:(486-(98-12)
=2010-2000:400
=2010-5
=2005
c)718:716+22.33.32.5-22.7+83
=(718:716)+(22.33.32)-(22.7)+83
=49+972-28+83
=1076
nhớ tích nha bạn ^-^
\(\frac{11}{18}=\frac{11.9.12}{18.9.12}=\frac{1188}{1944}\)
\(\frac{-5}{9}=\frac{-5.18.12}{9.12.18}=\frac{-1080}{1944}\)
\(\frac{-7}{12}=\frac{-7.9.18}{12.9.18}=\frac{-1134}{1944}\)
11 . 18 = 11 . 9 . 2 = 6 . 3 . 11
15 . 45 = 43 . 5 . 6 = 3 . 5 . 15
Bước 1: Tính B x 3 ( n = 3)
B x 3 = 3 x (5/2 + 5/6 + 5/18 + 5/ 54 + 5 /162 + 5 /486)
= 15/2 + 5/2 + 5/6 + 5/18 + 5/ 54 + 5 /162
Bước 2: Tính B x 3 – B
B x 3 – B = 15/2 +5/2 +5/6 +5/18 +5/54 + 5/162 -5/2 -5/6 -5/18 - 5/54 - 5 /162 - 5/486
B x (3 - 1) = B x 2
B x 2 =15/2 - 5/486
B x 2 = 3640/486
B = 3640 / 486 : 2 = 910/243
Bước 1: Tính B x 3 ( n = 3)
B x 3 = 3 x (5/2 + 5/6 + 5/18 + 5/ 54 + 5 /162 + 5 /486)
= 15/2 + 5/2 + 5/6 + 5/18 + 5/ 54 + 5 /162
Bước 2: Tính B x 3 – B
B x 3 – B = 15/2 +5/2 +5/6 +5/18 +5/54 + 5/162 -5/2 -5/6 -5/18 - 5/54 - 5 /162 - 5/486
B x (3 - 1) = B x 2
B x 2 =15/2 - 5/486
B x 2 = 3640/486
B = 3640 / 486 : 2 = 910/243