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( 456 x 11 + 912 ) x 37 : ( 13 x 74 )
( 456 x 11 + 192 ) x 37 : 13 x 37 x 2
= ( 456 x 11 + 456 x 2 ) x 37 : 13 x 37 x 2
= ( 456 x ( 11 + 2 ) x 37
= 456 x 17 x 37 : 13 x 37 x 2= 456 : 2 =
= 228
\(\left(456\times11+912\right)\times37\div\left(13\times74\right)\)
((476x11+912)x37) / (13x74) = (6148 x 37) / (13 x 74) = 6148 / 13 x 2 = 3074 / 13
\(\left(456.11+912\right).\frac{37}{13.74}=5928.\frac{37}{962}=228\)
\(864.48-432.\frac{96}{864.48.432}=41472-432.\frac{96}{17915904}=41472-\frac{1}{186624}=4147058529\)
\(16.17.\frac{5}{16.16+11}=272.\frac{5}{2816}=\frac{85}{176}\)
\(S=\frac{1}{4}\times\left(\frac{4}{5\times9}+\frac{4}{9\times13}+\frac{4}{13\times17}+...+\frac{4}{41\times45}\right)\)
\(S=\frac{1}{4}\times\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{9}-\frac{1}{13}+\frac{1}{13}-\frac{1}{17}+...+\frac{1}{41}-\frac{1}{45}\right)\)
\(S=\frac{1}{4}\times\left(\frac{1}{5}-\frac{1}{45}\right)\)
\(S=\frac{1}{4}\times\frac{8}{45}\)
\(S=\frac{1\times2}{1\times45}\)
\(S=\frac{2}{45}\)
Vậy \(S=\frac{2}{45}\)
Tk nha bn !!
4/5x9 + 4/9x13 + 4/13x17 + 4/ 17x21 + 4/ 21x25=27.911628241
Ta có:
\(\frac{4}{5\times9}+\frac{4}{9\times13}+\frac{4}{13\times17}+\frac{4}{17\times21}+\frac{4}{21\times25}\)
= \(\frac{1}{5}-\frac{1}{9}+\frac{1}{9}-\frac{1}{13}+\frac{1}{13}-\frac{1}{17}+\frac{1}{17}-\frac{1}{21}+\frac{1}{21}-\frac{1}{25}\)
= \(\frac{1}{5}-\left(\frac{1}{9}+\frac{1}{9}\right)-\left(\frac{1}{13}-\frac{1}{13}\right)-\left(\frac{1}{17}-\frac{1}{17}\right)-\left(\frac{1}{21}-\frac{1}{21}\right)-\frac{1}{25}\)
= \(\frac{1}{5}-\frac{1}{25}\)
= \(\frac{5}{25}-\frac{1}{25}=\frac{4}{25}\)
Ta có 1/3x4= 1/3- 1/4
2/4x6= 1/4-1/6
..............................
5/13x18= 1/13 - 1/18
=> 1/3 -1/4 + 1/4 -1/6 +......+ 1/13 -1/18
= 1/3 - 1/18
= 5/18
help pls
(451 x 13 + 9 x 13) x 37/13 x 74
= 13 x (451 + 9) x 37/13 x 74
= 13 x 460 x 37/13 x 74
= (13 x 37/13) x (460 x 74)
= 37 x 34040
= 1259480