Tính bằng cách thuận tiện nhất :2005 - 5 + 5 + 5....+ 5 + 5.(có 11 số 5)
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\(\dfrac{5}{9}\times\dfrac{5}{11}+\dfrac{5}{11}\times\dfrac{4}{9}\)
\(=\left(\dfrac{5}{9}+\dfrac{4}{9}\right)\times\dfrac{5}{11}\)
\(=1\times\dfrac{5}{11}\)
\(=\dfrac{5}{11}\)
#NoSimp
\(\dfrac{5}{9}\) \(\times\) \(\dfrac{5}{11}\) + \(\dfrac{5}{11}\) \(\times\) \(\dfrac{4}{9}\)
= \(\dfrac{5}{11}\) \(\times\) ( \(\dfrac{5}{9}\) + \(\dfrac{4}{9}\))
= \(\dfrac{5}{11}\) \(\times\) \(\dfrac{9}{9}\)
= \(\dfrac{5}{11}\)
\(\left(\dfrac{7}{11}+\dfrac{4}{11}\right):\dfrac{3}{5}=\dfrac{11}{11}:\dfrac{3}{5}=\dfrac{1}{1}:\dfrac{3}{5}=\dfrac{1}{1}\times\dfrac{5}{3}=\dfrac{5}{3}\)
`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`
`a) 5 / 13 xx 4 / 15 xx 13 = [ 5 xx 4 xx 13 ] / [ 13 xx 5 xx 3 ] = 4 / 3`
`b) ( 3 / 7 + 5 / 2 ) xx 7 / 5 = 3 / 7 xx 7 / 5 + 5 / 2 xx 7 / 5 = 3 / 5 + 7 / 2 = 6 / 10 + 35 / 10 = 41 / 10`
`c) 1 / 5 xx 11 / 18 + 11 / 18 xx 3 / 5 = 11 / 18 xx ( 1 / 5 + 3 / 5 ) = 11 / 18 xx 4 / 5 = [ 11 xx 2 xx 2 ] / [ 2 xx 9 xx 5 ] = 22 / 45`
\(a,\dfrac{5}{13}\times\dfrac{4}{15}\times13=\dfrac{4}{3}\)
\(b,\left(\dfrac{3}{7}+\dfrac{5}{2}\right)\times\dfrac{7}{5}=\left(\dfrac{6}{14}+\dfrac{35}{14}\right)\times\dfrac{7}{5}=\dfrac{41}{14}\times\dfrac{7}{15}=\dfrac{41}{30}\)
\(c,\dfrac{1}{5}\times\dfrac{11}{18}+\dfrac{11}{18}\times\dfrac{3}{5}=\dfrac{11}{18}\times\left(\dfrac{1}{5}+\dfrac{3}{5}\right)=\dfrac{11}{18}\times\dfrac{4}{5}=\dfrac{22}{45}\)
\(2005-5+5+5+...+5+5\)
\(=2005-5+\left(5+5+...+5\right)\)
\(=2005-5+50\)
\(=2000+50=2050\)
PP/ss: Chắc z ((:
5×(1009+2010)+(-2010)×5