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\(\frac{2}{3}\times\frac{4}{5}+\frac{1}{3}\times\frac{4}{5}\)
\(=\left(\frac{2}{3}+\frac{1}{3}\right)\times\frac{4}{5}\)
\(=1\times\frac{4}{5}\)
\(=\frac{4}{5}\)
2/3 x 4/5 + 1/3 x 4/5
= 4/5 x (2/3 + 1/3 )
= 4/5 x 1
= 4/5
mong các bạn nha
\(\frac{2}{3}\times\frac{4}{5}-\frac{1}{3}\times\frac{4}{5}\)
\(=\frac{8}{15}-\frac{4}{15}\)
\(=\frac{4}{15}\)
k mk nha mấy bạn
~ Ko có đề bài -_- ~
Ta có :
\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{99.100}\)
\(=\)\(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{99}-\frac{1}{100}\)
\(=\)\(1-\frac{1}{100}\)
\(=\)\(\frac{99}{100}\)
Chúc bạn học tốt ~
\(\frac{1}{1x2}+\frac{1}{2x3}+\frac{1}{3x4}+...+\frac{1}{99x100}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{99}-\frac{1}{100}\)
\(=1-\frac{1}{100}\)
\(=\frac{99}{100}\)
Đặt \(A=\frac{2}{1.2}+\frac{2}{2.3}+...+\frac{2}{99.100}\)
\(A=2.\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{99.100}\right)\)
\(A=2.\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+....+\frac{1}{99}-\frac{1}{100}\right)\)
\(A=2.\left(1-\frac{1}{100}\right)\)
\(A=\frac{2.99}{100}\)
\(A=\frac{99}{50}=1\frac{49}{50}\)
\(\frac{2}{1.2}+\frac{2}{2.3}+\frac{2}{3.4}+...+\frac{2}{99.100}\)
\(=2\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{99.100}\right)\)
\(=2\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{99}-\frac{1}{100}\right)\)
\(=2\left(1-\frac{1}{100}\right)=2.\frac{99}{100}\)
\(=\frac{99}{50}\)
1/1*2+1/2*3+1/3*4+...+1/9*10
=1-1/2+1/2-1/3+1/3-1/4+...+1/9-1/10
=1-1/10
=9/10
nho k cho minh voi nhe
\(\frac{1}{1.2}\)+ \(\frac{1}{2.3}\)+ \(\frac{1}{3.4}\)+ ......... + \(\frac{1}{7.8}\)+ \(\frac{1}{8.9}\)+ \(\frac{1}{9.10}\)
\(=\)\(1\)\(-\)\(\frac{1}{10}\)
\(=\)\(\frac{9}{10}\)
\(X=\frac{1}{x}\cdot\left(\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+...+\frac{1}{9\cdot10}\right)\)
\(=\frac{1}{x}\cdot\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\right)\)
\(=\frac{1}{x}\cdot\left(\frac{1}{2}-\frac{1}{10}\right)\)
\(=\frac{1}{x}\cdot\frac{2}{5}\)
\(X=\frac{1}{2x3}+\frac{1}{3x4}+\frac{1}{4x5}+......+\frac{1}{9x10}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{9}-\frac{1}{10}\)
\(=\frac{1}{2}-\frac{1}{10}\)
\(=\frac{5}{10}-\frac{1}{10}=\frac{4}{10}=\frac{2}{5}\)
1+2-3x4:5
=3-2,4
=0,6