0,25 ( x - ⅓ ) - x =1và 5/1
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\(1\frac{1}{15}\cdot1\frac{1}{16}\cdot1\frac{1}{17}\cdot...\cdot1\frac{1}{2006}\)
\(=\frac{16}{15}\cdot\frac{17}{16}\cdot\frac{18}{17}\cdot...\cdot\frac{2007}{2006}\)
\(=\frac{16\cdot17\cdot18\cdot...\cdot2007}{15\cdot16\cdot17\cdot...\cdot2006}\)
\(=\frac{2007}{15}\)
1\(\frac{1}{15}\) x 1\(\frac{1}{16}\) x 1\(\frac{1}{17}\) x ............ x 1\(\frac{1}{2016}\)
= \(\frac{16}{15}\)x \(\frac{17}{16}\)x \(\frac{18}{17}\)x ................. x \(\frac{2017}{2016}\)
= \(\frac{1}{15}\)x 2017
= \(\frac{2017}{15}\)
A) x/y-3/8=1 x/y-3/8=1/2 B)4/9:x/y=1 4/9:x/y=2/3
x/y=1+3/8 x/y=1/2+3/8 x/y=4/9:1 x/y=4/9:2/3
x/y=8/8+3/8 x/y=4/8+3/8 x/y=4/9 x/y=2/3
x/y=11/8 x/y=7/8
a) \(x+2\frac{1}{5}=1\frac{3}{5}\)
\(x+\frac{11}{5}=\frac{8}{5}\)
\(x=\frac{8}{5}-\frac{11}{5}\)
\(x=\frac{-3}{5}\)
b) \(\frac{x}{20}=\frac{3}{4}+\frac{-3}{5}\)
\(\frac{x}{20}=\frac{3}{20}\)
\(\Rightarrow x=3\)
\(1\frac{1}{2}\times1\frac{1}{3}\times1\frac{1}{4}\times1\frac{1}{5}\times...1\frac{1}{9}+2005.\)
\(=\frac{3}{2}\times\frac{4}{3}\times\frac{5}{4}\times\frac{6}{5}\times...\times\frac{10}{9}+2005\)
\(=\frac{10}{2}+2005=5+2005=2010\)
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