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`5/9+5/11+4/9+4/11+2/11`
`=(5/9+4/9)+(5/11+4/11+2/11)`
`=9/9+11/11`
`=1+1`
`=2`
\(2\times5\times\dfrac{11}{3}\times11\times5=\left(2\times5\times5\right)\times\left(\dfrac{11}{3}\times11\right)=50\times\dfrac{121}{3}=\dfrac{6050}{3}\)
2 x 5 x 11/3 x 11 x 5
= 10 x 11/3 x 11 x 5
= ( 10 x 5 ) x( 11/3 x 11)
= 50 x 121/3
= 6050/3
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12
= ( 1 + 12 ) + ( 2 + 11 ) + ( 3 + 10 ) + ( 4 + 9 ) + ( 5 + 8 ) + ( 6 + 7 )
= 13 + 13 + 13 + 13 + 13 + 13
= 13 x 6
= 78
sai thui
\(\frac{9}{10}+\frac{7}{9}+\frac{5}{8}+\frac{3}{7}+\frac{3}{5}+\frac{2}{5}+\frac{4}{7}+\frac{3}{8}+\frac{2}{9}+\frac{1}{10}\)\(\frac{1}{10}\)
= ( 9/10 + 1/10 ) + ( 7/9 + 2/9 ) + ( 5/8 + 3/8 ) + ( 3/7 + 4/7 ) + ( 3/5 + 2/5 )
= 1 + 1 + 1 + 1 + 1
= 1 x 5
= 5
\(\left(\frac{9}{10}+\frac{1}{10}\right)+\left(\frac{7}{9}+\frac{2}{9}\right)+\left(\frac{5}{8}+\frac{3}{8}\right)+\left(\frac{3}{7}+\frac{4}{7}\right)+\left(\frac{3}{5}+\frac{2}{5}\right)\)2/5)
=1+1+1+1+1=5
.
\(\dfrac{4}{5}\times\left(\dfrac{5}{4}-\dfrac{5}{7}\right)\)
\(=\dfrac{4}{5}\times\left(\dfrac{35}{28}-\dfrac{20}{28}\right)\)
\(=\dfrac{4}{5}\times\dfrac{15}{28}\)
\(=\dfrac{3}{7}\)
__
\(\dfrac{5}{8}\times\dfrac{9}{7}+\dfrac{5}{8}\times\dfrac{5}{7}\)
\(=\dfrac{5}{8}\times\left(\dfrac{9}{7}+\dfrac{5}{7}\right)\)
\(=\dfrac{5}{8}\times2=\dfrac{10}{8}=\dfrac{5}{4}\)
`a: =(7/3-4/3)+11/5=16/5`
`b: =(18/13-5/13)+55/46=1+55/46=101/46`
`c: =27/25-4/9-2/25+5/9=(27/25-2/25)+(5/9-4/9)=1+1/9=10/9`
=(2/5+3/5)+(5/9+4/9)
=5/5+9/9
=1+1
=2