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a; A = \(\dfrac{4026\times2014+4030}{2013\times2016-2011}\)
A = \(\dfrac{2\times\left(2013\times2014+2015\right)}{2013\times2016-2011}\)
A = \(\dfrac{2\times\left(2013\times2016-2013\times2+2015\right)}{2013\times2016-2011}\)
A = \(\dfrac{2\times\left(2013\times2016-4026+2015\right)}{2013\times2016-2011}\)
A = \(\dfrac{2\times\left(2013\times2016-2011\right)}{2013\times2016-2011}\)
A = 2
a) \(\dfrac{2}{3}+\dfrac{3}{5}=\dfrac{10}{15}+\dfrac{9}{15}=\dfrac{19}{15}\)
a) \(\dfrac{7}{12}-\dfrac{2}{7}+\dfrac{1}{12}=\dfrac{2}{3}-\dfrac{2}{7}=\dfrac{14}{21}-\dfrac{6}{21}=\dfrac{8}{21}\)
Ta có công thức tổng quát:
\(\dfrac{k}{n\cdot\left(n+k\right)}=\dfrac{1}{n}-\dfrac{1}{n+k}\)
\(a,A=\dfrac{1}{5\cdot8}+\dfrac{1}{8\cdot11}+...+\dfrac{1}{x\left(x+3\right)}\\ =\dfrac{1}{3}\left(\dfrac{3}{5\cdot8}+\dfrac{3}{8\cdot11}+...+\dfrac{3}{x\left(x+3\right)}\right)\\ =\dfrac{1}{3}\left(\dfrac{1}{5}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{11}+...+\dfrac{1}{x}-\dfrac{1}{x+3}\right)\\ =\dfrac{1}{3}\cdot\left(\dfrac{1}{5}-\dfrac{1}{x+3}\right)\\ =\dfrac{1}{3}\cdot\dfrac{x-2}{5\left(x+3\right)}\\ =\dfrac{x-2}{15\left(x+3\right)}\)
Theo đề bài ta có:
\(A=\dfrac{101}{1540}\\ \Rightarrow\dfrac{x-2}{15\left(x+3\right)}=\dfrac{101}{1540}\\ \Rightarrow\dfrac{x-2}{x+3}=\dfrac{303}{308}\\ \Rightarrow\dfrac{x-2}{x+3}=\dfrac{305-2}{305+3}\\ \Rightarrow x=305\)
b) 4,2 x ( 12+5-5 )
= 4,2 x 10
= 42
c) 2,25h + 2h15' + 135 phút
= 135 phút + 135 phút + 135 phút
= 135 phút x 3
= 405 phút
ko bt có đúng ko lm bừa ý mà
a) x + 2,57 = 14,25 - 6,3
=> x + 2,57 = 7,95
=> x = 7,95 - 2,57
=> x = 5,38
Vậy x = 5,38
b) 12,9 - x = 4,2 + 2,4
=> 12,9 - x = 6,6
=> x = 12,9 - 6,6
=> x = 6,3
Vậy x = 6,3
c) x . 93 + x . 0,7 = 100
=> x . (93 + 0,7) = 100
=> x . 93,7 = 100
=> x = 100 : 93,7
=> x = 1000/937
Vậy x = 1000/937
a) \(x+2,57=14,25-6,3\)
\(x+2,57=7,95\)
\(x=7,95-2,57\)
\(\Rightarrow x=5,38\)
b) \(12,9-x=4,2+2,4\)
\(12,9-x=6,6\)
\(x=12,9-6,6\)
\(\Rightarrow x=6,3\)
c) \(x.93+x.0,7=100\)
\(x\left(93+0,7\right)=100\)
\(x.93,7=100\)
\(x=100:93,7\)
\(\Rightarrow x=\frac{1000}{937}\)
d) \(\frac{x}{5}=\frac{4}{2}\)
Ta có: \(x.2=4.5\)
\(x.2=20\)
\(x=20:2\)
\(\Rightarrow x=10\)
a: \(=\dfrac{24\cdot126\cdot35}{63\cdot48\cdot315}=\dfrac{1}{9}\cdot\dfrac{1}{2}\cdot2=\dfrac{1}{9}\)
b: \(=\dfrac{42\cdot87\cdot33}{11\cdot29\cdot21}=2\cdot3\cdot3=18\)
cảm ơn ạ !