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\(=1\left(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{9.10}\right)\)
\(=1\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-...+\frac{1}{9}-\frac{1}{10}\right)\)
\(=1-\frac{1}{10}\)
\(=\frac{9}{10}\)
\(=\frac{4}{3}x\frac{9}{8}x\frac{16}{15}x\frac{25}{24}x...x\frac{100}{99}\)
\(=\frac{2x2x3x3x4x4x5x5x6x6x7x7x8x8x9x9x10x10}{1x3x2x4x3x5x4x6x5x7x6x8x7x9x8x10x9x11}=\frac{2x10}{11}=\frac{20}{11}\)
Lưu Hạ Băng
Ta có : \(1\frac{1}{3}x1\frac{1}{8}x1\frac{1}{15}x1\frac{1}{24}x...x1\frac{1}{99}\)
\(=\frac{4}{3}x\frac{9}{8}x\frac{16}{15}x\frac{25}{24}x...x\frac{100}{99}\)
\(=\frac{2x2}{1x3}x\frac{3x3}{2x4}x\frac{4x4}{3x5}x\frac{5x5}{4x6}x...x\frac{10x10}{9x11}\)
\(=\frac{2x2x3x3x4x4x5x5x...x10x10}{1x3x2x4x3x5x4x6x...x9x11}\)
\(=\frac{\left(2x3x4x5x...x10\right)x\left(2x3x4x5x...x10\right)}{\left(1x2x3x4x...x9\right)x\left(3x4x5x6x...x11\right)}\)
\(=\frac{10x2}{1x11}\)
\(=\frac{20}{11}\)
Chúc bn học tốt !!!
Kb vs mk heg =)) ^^
a) \(\left(x+\frac{3}{4}\right):5=\frac{5}{6}\)
\(x+\frac{3}{4}=\frac{5}{6}\text{x}5\)
\(x+\frac{3}{4}=\frac{25}{6}\)
\(x=\frac{25}{6}-\frac{3}{4}\)
\(x=\frac{41}{12}\)
b) \(\left(\frac{4}{3}+x\right)\text{x}\frac{1}{11}=\frac{7}{11}\)
\(\frac{4}{3}+x=\frac{7}{11}:\frac{1}{11}\)
\(\frac{4}{3}+x=7\)
\(x=7-\frac{4}{3}\)
\(x=\frac{17}{3}\)
a) \(x+\frac{3}{4}\div5=\frac{5}{6}\)
\(x+\frac{3}{4}=\frac{5}{6}\times5\)
\(x+\frac{3}{4}=\frac{25}{6}\)
\(x=\frac{25}{6}-\frac{3}{4}\)
\(x=\frac{41}{21}\)
b) \(\left(\frac{4}{3}+x\right)\times\frac{1}{11}=\frac{7}{11}\)
\(\frac{4}{3}+x=\frac{7}{11}\div\frac{1}{11}\)
\(\frac{4}{3}+x=7\)
\(x=7-\frac{4}{3}\)
\(x=\frac{17}{3}\)
b
Q=\(\frac{2}{6}+\frac{2}{12}+\frac{2}{20}+...+\frac{2}{9900}\)
Rồi giải tương tự như câu a là được
M=\(5\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{99}-\frac{1}{100}\right)=5\left(1-\frac{1}{100}\right)=5.\frac{99}{100}=\frac{99}{20}\)
a, 115 950
A.= 115950
B. \(\approx\)0.04414335664