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\(=\frac{1}{2}\cdot\frac{2}{3}\cdot\cdot\cdot\cdot\cdot\cdot\frac{2016}{2017}\)
\(=\frac{1.2........2016}{2.3.............2017}\)
\(=\frac{1}{2017}\)
a) \(\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).\left(x-\frac{1}{4}\right).....\left(1-\frac{1}{2016}\right).\left(1-\frac{1}{2017}\right)\)
\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}......\frac{2015}{2016}.\frac{2016}{2017}=\frac{1}{2017}\)
3/4 x 8/9 x 15/16 x ... x 99/100 x 120/121 = 3 x 8 x 15 x 99 x 120/ 4 x 9 x 16 x 100 x 121
= ( 1 x 3 ) x ( 2 x 4 ) x ( 3 x 5 ) x ... x ( 9 x 11 ) x ( 10 x 12 ) / ( 2 x 2 ) x ( 3 x 3 ) x ( 4 x 4 ) x ... x ( 10 x 10 ) x ( 11 x 11 )
= ( 1 x 2 x 3 x ... x 10 ) x ( 3 x 4 x 5 x ... x 12 ) / ( 2 x 3 x ... x 11 ) x ( 2 x 3 x ... x 11 ) = 12/11x2 = 6/11
\(S=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{90}\)
\(S=\frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+...+\frac{1}{9\times10}\)
\(S=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\)
\(S=1-\frac{1}{10}\)
\(S=\frac{9}{10}\)
\(S=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{90}\)
\(S=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{9.10}\)
\(S=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\)
\(S=1-\frac{1}{10}\)
\(S=\frac{9}{10}\)
\((6-4\frac{1}{2}):0,03+(3\frac{1}{20}-2,65):4+\frac{2}{5}\)
\((6-4,5):0,03+(3,05-2,65):4+0,4\)
\(=1,5:0,03+0,4:4+0,4\)
\(=50+(0,4\cdot2):4\)
\(=50+0,2\)
\(=50,2\)
Chúc bạn học tốt
\(\left(4.5-2\cdot x\right):\frac{3}{4}=1\frac{1}{3}\)
\(\left(4.5-2x\right):\frac{3}{4}=\frac{4}{3}\)
\(\left(4.5-2x\right)=\frac{4}{3}\cdot\frac{3}{4}\)
\(4.5-2x=1\)
\(2x=4.5-1\)
\(2x=3.5\)
\(x=3.5:2\)
\(x=1.75\)
(4,5 - 2 x X) : 3/4 = 1 1/3
(4,5 - 2 x X) = 1 1/3 x 3/4
(4,5 - 2 x X) = 1
2 x X = 4,5 - 1
2 x X = 3,5
X = 3,5 : 2
X = 1,75
chúc bạn học giỏi ^_^
tk mk nha !!!
a ) X x 6 - 4,99 = 25,01 b ) X : 6 = 7/4
X x 6 = 25,01 + 4,99 X : 6 = 1,75
X x 6 = 30 X = 1,75 x 6
X = 30 : 6 X = 10,5
X = 5
a) \(6x-4,99=25,01\)
\(6x=25,01+4,99\)
\(6x=30\)
\(x=5\)
vậy \(x=5\)
b) \(\frac{x}{6}=\frac{7}{4}\)
\(\Rightarrow4x=6.7\)
\(\Rightarrow4x=42\)
\(\Rightarrow x=10,5\)
vậy \(x=10,5\)