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Ta có
\(\frac{1}{7}B=\frac{5}{2.7}+\frac{4}{7.11}+\frac{3}{11.14}+\frac{1}{14.15}+\frac{13}{15.28}\)
\(\Rightarrow\frac{1}{7}B=\frac{1}{2}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}+\frac{1}{14}-\frac{1}{15}+\frac{1}{15}-\frac{1}{28}\)
\(\Rightarrow\frac{1}{7}B=\frac{1}{2}-\frac{1}{28}\)
\(\Rightarrow\frac{1}{7}B=\frac{13}{28}\)
\(\Rightarrow B=\frac{13}{4}\)
\(=\frac{5}{2.1}+\frac{4}{1.11}+\frac{3}{11.2}+\frac{1}{2.15}+\frac{13}{15.4}\)
B:7=\(\frac{5}{2.7}+\frac{4}{7.11}+\frac{3}{11.14}+\frac{1}{14.15}+\frac{13}{15.28}\)
B:7=\(\frac{1}{2}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+...+\frac{1}{15}-\frac{1}{28}\)
B:7=\(\frac{1}{2}-\frac{1}{28}\)=\(\frac{13}{28}\)=>B=\(\frac{13}{4}\)
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1/2.1/3+1/3.1/4+1/4.1/5+1/5.1/6
=1/2.3+1/3.4+1/4.5+1/5.6
=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6
=1/2-1/6
=2/6=1/3
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1 : ( 0,3 + x ) = 5\(\frac{1}{2}\). 1/4
1 : ( 0,3 + x ) = 11/2 . 1/4
1 : ( 0,3 + x ) = 11/8
0,3 + x = 1 : 11/8
0,3 + x = 8/11
x = 8/11 - 0,3
x = 47/110
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\(x-\frac{3}{4}=6\cdot\frac{3}{8}\)
\(x-\frac{3}{4}=\frac{9}{4}\)
\(x=\frac{9}{4}+\frac{3}{4}\)
\(x=\frac{12}{4}=3\)
\(\frac{7}{8}\cdot x=3-\frac{1}{2}\)
\(\frac{7}{8}\cdot x=\frac{5}{2}\)
\(x=\frac{7}{8}:\frac{5}{2}\)
\(x=\frac{7}{20}\)
\(x+\frac{1}{2}\cdot\frac{1}{3}=\frac{3}{4}\)
\(x+\frac{1}{6}=\frac{3}{4}\)
\(x=\frac{3}{4}-\frac{1}{6}\)
\(x=\frac{7}{12}\)
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