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Ta có: \(N=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+....+\frac{1}{2005.2006}\)
\(\Rightarrow N=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{2005}-\frac{1}{2006}\)
\(=1-\frac{1}{2006}=\frac{2005}{2006}\)
\(M=\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+....+\frac{2}{2015.2017}\)
\(\Rightarrow1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+....+\frac{1}{2015}-\frac{1}{2017}\)
\(=1-\frac{1}{2017}=\frac{2016}{2017}\)
N = 1/1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 +...+ 1/2005 - 1/2006
= 1/1 - 1/2006
= 2006/2006 - 1/2006
= 2005/2006
a ) \(-\frac{3}{7}.\frac{3}{11}+-\frac{3}{7}.\frac{8}{11}+1\frac{3}{7}\)
\(=-\frac{3}{7}.\left(\frac{3}{11}+\frac{8}{11}\right)+\frac{10}{7}\)
\(=-\frac{3}{7}.\frac{11}{11}+\frac{10}{7}\)
\(=-\frac{3}{7}.1+\frac{10}{7}\)
\(=\frac{10}{7}\)
b ) \(75\%.10,5=\frac{3}{4}.10,5=7,875\)
c ) \(5-3.\left(\left|-4\right|-30:15\right)\)
\(=5-3.\left(4-2\right)\)
\(=5-3.2\)
\(=5-6\)
\(=-1\)
d ) \(-\frac{5}{7}.\frac{2}{11}+-\frac{5}{7}.\frac{9}{11}+1\frac{5}{7}\)
\(=-\frac{5}{7}.\left(\frac{2}{11}+\frac{9}{11}\right)+\frac{12}{7}\)
\(=-\frac{5}{7}.1+\frac{12}{7}\)
\(=\frac{7}{7}\)
\(=1\)
Chúc bạn học tốt !!!
\(\frac{x}{8}=\frac{-15}{30}\)
\(\Rightarrow x=\frac{-15.8}{30}\)
\(\Rightarrow x=-4\)
\(\frac{y}{6}=\frac{15}{-45}\)
\(\Rightarrow y=\frac{15.6}{-45}\)
\(\Rightarrow y=-2\)
A) \(\frac{x}{8}=\frac{-15}{30}\)
\(\Leftrightarrow\)\(x=\frac{\left(-15\right).8}{30}=-4\)
Vậy...
B) \(\frac{y}{6}=\frac{15}{-45}\)
\(\Leftrightarrow\)\(y=\frac{15.6}{-45}=-2\)
Vậy....
0,2xX-\(\frac{7}{5}\)xX=-\(\frac{42}{45}\)
X=0,7777777778
= 1- 1/2 + 1/2 - 1/3 + 1/3 - 1/4 +... + 1/99 - 1/100
= 1 - 99/100
= 1/100.
ta có
\(C=\frac{2-1}{1.2}+\frac{3-2}{2.3}+\frac{4-3}{4.3}+..+\frac{100-99}{99.100}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{99}-\frac{1}{100}=1-\frac{1}{100}=\frac{99}{100}\)
M=a + 13/a + 11=a + 11 + 2/a+11=1 +2/a + 11
Để A nguyên thì 2/a + 11 nguyên
=>a +11 thuộc Ư(2)=1,-1,2,-2
=>a thuộc -10,-12,-9,-13
M=a - 2/a + 5=a + 5 -7/a+5=1-7/a+5
Để M nguyên thì 7/a+5 nguyên
=>a+5 thuộc Ư(7)=1,-1,7,-7
=>a thuộc -4,-6,2,-12
Mà a nguyên dương nên a =2
\(=\left(2x+\frac{3}{4}\right)\frac{7}{9}=\frac{15}{8}\)
\(=2x+\frac{3}{4}\)\(=\frac{15}{8}:\frac{7}{9}\)
=\(2x+\frac{3}{4}=\frac{135}{56}\)
=2x=\(\frac{135}{56}-\frac{3}{4}\)
=2x=\(\frac{93}{56}\)
x=\(\frac{93}{56}:2\)
x=\(\frac{93}{112}\)
k nha
A=1/2.3+1/3.4+1/4.5+...+1/99.100 ( Bạn nên viết như vậy để người khác dễ đọc hơn)
=1-1/2+1/2-1/3+1/3-1/4+...+1/99-1/100
=1-1/100
=99/100