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\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}\)
\(=1-\frac{1}{5}\)
\(=\frac{4}{5}\)
\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{9900}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{98.99}+\frac{1}{99.100}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+....+\frac{1}{98}-\frac{1}{99}+\frac{1}{99}-\frac{1}{100}+\frac{1}{100}\)
\(=1-\frac{1}{100}\)
\(=\frac{99}{100}\)
( 1 + 1/2 + 1/6 ) : ( 1/6 + 1/12 + 1/20 )
= ( 1 + 2/3 ) : ( 1/4 + 1/20 )
= 5/3 : 3/10
= 5/3 x 10/3
= 50/9
\(\left(1+\frac{1}{2}+\frac{1}{6}\right):\left(\frac{1}{6}+\frac{1}{12}+\frac{1}{20}\right)\)
=\(\frac{5}{3}:\frac{3}{10}\)
=\(\frac{50}{9}\)
\(\frac{4}{5}\times\left(20-x\right)=4\)
\(20-x=4:\frac{4}{5}\)
\(20-x=5\) Mình Chúc Các Bn Học Giỏi !!!!!!!!!!!!!!!!!!!
\(x=20-5\)
\(x=15\)
(1/2+1/6+1/12+1/20) x (20 - x) =4
4/5 x (20-x)= 4
20-x=4:4/5
20-x=5
x=15
1/1.2 + 1/2.3 + 1/3.4 + 1/4.5
= 1- 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5
= 1 - 1/5 = 4/5
****
1/2+1/6+1/12+...+1/90=1/(1.2)+1/(2.3)+1/(3.4)+...+1/(9.10)
=1/1-1/2+1/2-1/3+1/3-1/4+...+1/9-1/10
=1-1/10
=9/10
\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+........+\frac{1}{56}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+...........+\frac{1}{7.8}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+......+\frac{1}{7}-\frac{1}{8}\)
\(=1-\frac{1}{8}=\frac{7}{8}\)