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5 + 5/3 + 5/9 + 5/27 + 5/81
= 5/1 + 5/3 + 5/9 + 5/27 + 5/81
= 405/81 + 135/81 + 15/81 + 5/81
= 605/81
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2/3 x 4/5 + 4/5 x 8/3 = 4/5 x (2/3 + 8/3) = 4/5 x 10/3 = 8/3
27/32 x 16/9 -27/32 x7/9 + 27/32
= 27/32 x (16/9 - 7/9 + 1 )
=27/32 x 2
=27/16
\(\frac{2}{3}\) x \(\frac{4}{5}\) + \(\frac{4}{5}\) x \(\frac{8}{3}\)
=\(\frac{4}{5}\) x ( \(\frac{2}{3}\) + \(\frac{8}{3}\) )
= \(\frac{4}{5}\) x \(\frac{10}{3}\)
= \(\frac{40}{15}\) = \(\frac{8}{5}\)
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tìm x :
200 -(2 . x + 6) = 64
2 . x + 6 = 200 - 64
2 . x + 6 = 136
2 . x = 136 - 6
2 . x = 130
x = 130 : 2 = 65
Tính nhanh
1972 - (368 +972)
1972 - 1340
= 632
3345 - 1000 : 192 - 2 . (221 - 218 ) . 3
3345 - ( 1000 ko chia hết cho 192 )
999 + 85 = 1084
( 1 + 37) x 37 : 2 = 703
( 1 + 2017) x 2017 : 2 = 2035153
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\(\frac{1\cdot3\cdot9+2\cdot6\cdot18+3\cdot9\cdot27}{1\cdot5\cdot18+2\cdot10\cdot36+3\cdot15\cdot54}\)
\(=\frac{1\cdot3\cdot9+2\left(1\cdot3\cdot9\right)+3\left(1\cdot3\cdot9\right)}{1\cdot5\cdot18+2\left(1\cdot5\cdot18\right)+3\left(1\cdot5\cdot18\right)}\)
\(=\frac{\left(1\cdot3\cdot9\right)\left(1+2+3\right)}{\left(1\cdot5\cdot18\right)\left(1+2+3\right)}\)
\(=\frac{3}{10}\)
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a) = 17/19 - 17/19 + 27/35 + 35/35 = 0 + 62/35
b) = 1/3 x 4/5 + 1/3 x6/5 + 1/3 x 2 = 1/3(4/5 + 6/5 + 2) = 1/3 x 4 = = 4/3
c) 4/7 x 2/9 + 4/7 x 7/9 + 2/3 = 4/7 x (2/9 + 7/9) + 2/3 = 4/7 x 1 + 2/3 = 26/21
A) 17/19 - 17/19 + 27/35 + 35/35 = 0 + 62/35
B) 1/3 x 4/5 + 1/3 x 6/5 + 1/3 x 2 = 1/3 x(4/5 + 6/5 x 2 ) = 1/3 x 4 = 4/3
c) TƯƠNG TỰ CÂU A VÀ B
* HOKTOT*
NHA
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Bài 1: 1/3+1/9+1/27+1/81+1/243+1/729
Đặt:
A = 1 + 1/3 + 1/9 + 1/27 + 1/81 + 1/243 + 1/729
Nhân A với 3 ta có:
\(Ax3=3+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}\)
\(\Rightarrow Ax3-S=3-\frac{1}{243}\)
\(\Rightarrow2A=\frac{2186}{729}\)
\(\Rightarrow A=\frac{2186}{729}:2\)
\(\Rightarrow A=\frac{1093}{729}\)
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\(\frac{4}{9}+\frac{5}{9}X\left(1-\frac{2}{3}\right):\frac{5}{27}\)
=\(1X\frac{1}{3}X\frac{27}{5}\)
=\(\frac{1X9X3}{3X5}\)
\(\frac{9}{5}\)
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a ) 37 x 27 + 63 x 27
= ( 37 + 63 ) x 27
= 100 x 27
= 2700
b ) 1 + 2 + 3 + 4 + ... + 97 + 98 + 99
= ( 99 - 1 ) : 1 + 1
= 99 x ( 99 + 1 ) : 2
= 4950
c ) 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
= ( 1 + 9 ) + ( 2 + 8 ) + ( 3 + 7 ) + ( 4 + 6 ) + ( 5 + 10 )
= 10 + 10 + 10 + 10 + 15
= 55
Đặt A = \(\dfrac{5}{3}+\dfrac{5}{9}+\dfrac{5}{27}+...+\dfrac{5}{218}\)
\(\dfrac{A}{3}=\dfrac{5}{9}+\dfrac{5}{27}+\dfrac{5}{81}+...+\dfrac{5}{654}\)
\(A-\dfrac{A}{3}=\left(\dfrac{5}{3}+\dfrac{5}{9}+\dfrac{5}{27}+...+\dfrac{5}{218}\right)-\left(\dfrac{5}{9}+\dfrac{5}{27}+\dfrac{5}{81}+...+\dfrac{5}{654}\right)\)
\(\dfrac{2A}{3}=\dfrac{5}{218}-\dfrac{5}{654}\)
\(\dfrac{2A}{3}=\dfrac{5}{327}\)
\(2A=\dfrac{5}{327}\cdot3\)
\(2A=\dfrac{5}{109}\)
\(A=\dfrac{5}{109}:2\)
\(A=\dfrac{5}{218}\)
đề bài đâu