Tính
D=(1/2-1).(1/3-1).(1/4.1)...(1/50-1)
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\(1\frac{5}{7}\cdot\frac{3}{4}=\frac{12}{7}\cdot\frac{3}{4}=\frac{9}{7}\)
\(\frac{10}{11}:1\frac{1}{3}=\frac{10}{11}:\frac{4}{3}=\frac{15}{22}\)
\(3,57\cdot4,1+2,43\cdot4,1=(3,57+2,43)\cdot4,1\)
\(=6\cdot4,1=24,6\)
Cuối tự làm
~Chúc bn học tốt~
\(1\frac{5}{7}x\frac{3}{4}=\frac{12}{7}x\frac{3}{4}=\frac{9}{7}\)
\(\frac{10}{11}:1\frac{1}{3}=\frac{10}{11}:\frac{4}{3}=\frac{10}{11}x\frac{3}{4}=\frac{30}{44}=\frac{15}{22}\)
\(3,57x4,1+2,43x4,1=4,1x\left(3,57+2,43\right)=4,1x6=24,6\)
\(3,42:0,57x8,4-6,8=6x8,4-6,8=50,4-6,8=43,6\)
=-1/2.3-1/3.4-1/4.5-1/5.6
=-(1/2.3+1/3.4+1/4.5+1/5.6)
=-(1/2-1/3+1/3-1/4+1/5-1/6)
=-(1/2-1/6)
=1/6-1/2=-1/3
\(\frac{1}{2}.\frac{1}{2}+\frac{1}{2}.\frac{1}{3}\)\(+\frac{1}{3}.\frac{1}{4}+\frac{1}{4}.\frac{1}{5}+\frac{1}{5}.\frac{1}{6}\)
\(=\frac{1}{4}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}\)
\(=\frac{1}{4}+\left(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}\right)\)
\(=\frac{1}{4}+\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}\right)\)
\(=\frac{1}{4}+\left(\frac{1}{2}-\frac{1}{6}\right)\)
\(=\frac{1}{4}+\frac{1}{3}\)
\(=\frac{7}{12}\)
câu 2 là 3<1+1/2+1/3+1/4+...+1/62+1/63<6 nhé
mk ghi nhầm đề baif
Lời giải:
\(D=(\frac{1}{2}-1)(\frac{1}{3}-1)(\frac{1}{4}-1)...(\frac{1}{50}-1)=\frac{1-2}{2}.\frac{1-3}{3}.\frac{1-4}{4}...\frac{1-50}{50}\)
\(=\frac{-1}{2}.\frac{-2}{3}.\frac{-3}{4}....\frac{-49}{50}=-\frac{1.2.3.4...49}{2.3.4...50}=\frac{-1}{50}\)