tinh nhanh va thuan tien:
(1-1/2):(1-1/3):(1-1/4):(1-1/5):(1-1/6)
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4+9+8+6+2+1+3+7 = (4+6) + ( 9+1) + ( 8+2 ) + (7+3)
= 10 + 10 + 10 +10
= 40
4 + 9 + 8 + 6 + 2 + 1 + 3 + 7 = ( 4 + 6 ) + ( 9 + 1 ) + ( 8 + 2 ) + ( 3 + 7 )
= 10 + 10 + 10 + 10
= 10 x 4
= 40
a)1 /3 +1/4+2/3+3/4=\(\frac{1}{3}\)+\(\frac{2}{3}\)+\(\frac{1}{4}\)+\(\frac{3}{4}\)=1+1=2
b)1/2 +/3 -/5 +1/6=4/5
a,1/3+1/4+2/3+3/4
=(1/3+2/3)+(1/4+3/4)
= 1 + 1
= 2
nha, còn phàn b mình chưa biết
a)1/3+1/4+2/3+3/4
=(1/3+2/3)+(1/4+3/4)
=1+1
=2.
b)1/2+1/3-1/5+1/6
=(1/2+1/3+1/6)-1/5
=1-1/5
=4/5
c)2/3x4/5+1/3x4/5
=4/5x(2/3+1/3)
=4/5x1
=4/5
d)2/3x4/5-1/3x4/5
=4/5x(2/3-1/3)
=4/5x1/3
=4/15
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9
= (1 + 9) + (2 + 8) + (3 + 7) + (4 + 6) +5
= 10 + 10 + 10 +10 + 5
= 10 x 4 + 5
= 40 + 5
= 45
\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}\)
\(=1-\frac{1}{5}\)
\(=\frac{4}{5}\)
\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{9900}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{98.99}+\frac{1}{99.100}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+....+\frac{1}{98}-\frac{1}{99}+\frac{1}{99}-\frac{1}{100}+\frac{1}{100}\)
\(=1-\frac{1}{100}\)
\(=\frac{99}{100}\)