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\(1,\)
\(A=-\frac{7}{12}+\frac{12}{18}+\frac{5}{4}\)
\(=-\frac{7}{12}+\frac{2}{3}+\frac{5}{4}\)
\(=-\frac{7}{12}+\frac{8}{12}+\frac{15}{12}\)
\(=\frac{-7+8+15}{12}\)
\(=\frac{4}{3}\)
\(1,\)
\(B=\frac{1}{4}-\frac{8}{7}:8-3:\frac{3}{4}.\left(-2\right)^2\)
\(=\frac{1}{4}-\frac{8}{7}.\frac{1}{8}-3.\frac{4}{3}.4\)
\(=\frac{1}{4}-\frac{1}{7}-16\)
\(=\frac{7-4-448}{28}\)
\(=-\frac{445}{28}\)
Mình đang bận, bạn cần gấp thế à? Trả lời trong tin nhắn nhé!!!
1)C= 1/5+1/10+1/20+1/40+...+1/1280
\(=\frac{1}{5}\left(1+\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^8}\right)\)
Đặt cái trong ngoặc là A ta có:\(2A=2+1+...+\frac{1}{2^7}\)
\(2A-A=\left(2+1+...+\frac{1}{2^7}\right)-\left(1+\frac{1}{2}+...+\frac{1}{2^8}\right)\)
\(A=2-\frac{1}{2^8}\).Thay A vào ta được:\(C=\frac{1}{5}\left(2-\frac{1}{2^8}\right)=\frac{1}{5}\cdot\frac{511}{256}=\frac{511}{1280}\)
2)D= 2/1*3+2/3*5+2/5*10+2/7*9+2/9*11+2/11*18+2/13*15
\(=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{13}-\frac{1}{15}\)
\(=1-\frac{1}{15}\)
\(=\frac{14}{15}\)
3)E= 4/3*7+4/7*11+4/11*15+4/15*19+4/19*23+4/23*27
\(=\frac{1}{3}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+...+\frac{1}{23}-\frac{1}{27}\)
\(=\frac{1}{3}-\frac{1}{27}\)
\(=\frac{8}{27}\)
4)G= 1/2+1/6+1/12+1/20+1/30+1/42+...+1/110
\(=\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{10.11}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{10}-\frac{1}{11}\)
\(=1-\frac{1}{11}\)
\(=\frac{10}{11}\)
5)H= 3/1*2+3/2*3+3/3*4+3/4*5+...+3/9*10
\(=3\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{9}-\frac{1}{10}\right)\)
\(=3\left(1-\frac{1}{10}\right)\)
\(=3\times\frac{9}{10}\)
\(=\frac{27}{10}\).Lần sau bạn đăng ít một thôi nhé
1) x - 18 : 3 = 12
x - 6 = 12
x = 12 + 6
x = 18
2) ( x : 3 ) - 18 = 12
x : 3 = 12 + 18
x : 3 = 30
x = 30 x 3
'x = 90
3) ( x - 3 ) : 4 = 7
x - 3 = 7 x 4
x - 3 = 28
x = 28 + 3
x = 31
4 ) ( x : 15 ) - 3 = 25 x 4
( x : 15 ) - 3 = 100
x : 15 = 100 + 3
x : 15 = 103
x = 103 x 15
x = 1545
5) ( x - 25 ) : 9 = 0
x - 25 = 0 x 9
x - 25 = 0
x = 0 + 25
x = 25
6) 34 : ( x - 8 ) = 34
x - 8 = 34 : 34
x - 8 = 1
x = 1 + 8
x = 9
7) ( x + 4 ) x 16 = 80
x + 4 = 80 : 16
x + 4 = 5
x = 5 - 4
x = 1
1.73.(8-59)-59.(8-73)
=73.8-73.59-59.8-59.73
=73.(59-59)-8.(73-59)
=73.0-8.14
=0-112
=-112
2.159.(18-59)-59.(18 - 159)
=159.18-59.159-59.18-59.159
=159.(59-59)-18.(159-59)
=159.0-18.100
=0-1800
=-1800
1,1/3+1/2:X= -4
1/2:X= -4-1/3
1/2:X= -13/3
X=1/2 : -13/3
X= -3/26
1. 1/3 + 1/2 : x = -4
=> 1/2 : x = -4 - 1/3
1/2 : x = -13/3
=> x = 1/2 : (-13/3)
x = -3/26
2. 3x - 30%.x = -5,4
3x - x = -18
2x = -18
=> x = -18 : 2
x = -9
-32,995
\(1\times3,5-70,84:23+4-37,375\times\frac{4}{9}.\)
\(=3,5-\frac{77}{25}+4-\frac{299}{18}\)
\(=\left(3,5-\frac{77}{25}\right)+\left(4-\frac{299}{18}\right)\)
\(=\frac{21}{50}+\left(\frac{-277}{18}\right)\)
\(=\frac{-2743}{225}\)