tính nhanh
8/9 x 7/5 - 7/9 x 2/5 + 2/9
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\(a,\dfrac{8}{9}\times\dfrac{7}{5}-\dfrac{7}{9}\times\dfrac{2}{5}+\dfrac{2}{9}\\ =\dfrac{8}{9}\times\left(\dfrac{7}{5}-\dfrac{2}{5}\right)+\dfrac{2}{9}\\ =\dfrac{8}{9}\times\dfrac{5}{5}+\dfrac{2}{9}\\ =\dfrac{8}{9}+\dfrac{2}{9}\\ =\dfrac{10}{9}\)
\(b,\dfrac{5}{9}\times\dfrac{1}{4}+\dfrac{4}{9}\times\dfrac{3}{12}\\ =\dfrac{5}{9}\times\dfrac{1}{4}+\dfrac{4}{9}\times\dfrac{1}{4}\\ =\dfrac{1}{4}\times\left(\dfrac{5}{9}+\dfrac{4}{9}\right)\\ =\dfrac{1}{4}\times\dfrac{9}{9}\\ =\dfrac{1}{4}\)
\(\dfrac{8}{9}\) \(\times\) \(\dfrac{7}{5}\) - \(\dfrac{7}{9}\) \(\times\) \(\dfrac{2}{5}\) + \(\dfrac{2}{9}\)
= \(\dfrac{8}{9}\) \(\times\) \(\dfrac{7}{5}\) - \(\dfrac{7}{9}\) \(\times\) \(\dfrac{2}{5}\) + \(\dfrac{2\times5}{9\times5}\)
= \(\dfrac{56-14-10}{9\times5}\)
= \(\dfrac{52}{45}\)
S=1+2-3-4+......+993+994-995-996+997+998
=1+(2-3-4+5)+(6-7-8+9)+......+(994-995-996+997)+998
=1+0+0+......+0+998
=999
a) \(\dfrac{7}{5}x\div\left(9-6\dfrac{13}{21}\right)=2\dfrac{13}{25}\)
\(\dfrac{7}{5}x\div\left(9-\dfrac{139}{21}\right)=\dfrac{63}{25}\)
\(\dfrac{7}{5}x\div\dfrac{50}{21}=\dfrac{63}{25}\)
\(\dfrac{7}{5}x=6\)
\(x=\dfrac{30}{7}\)
b) \(\left(1,16-x\right)\times5,25\div\left(10\dfrac{5}{9}-7\dfrac{1}{4}\right)\times2\dfrac{2}{17}=75\%\)
\(\left(1,16-x\right)\times5,25\div\left(\dfrac{95}{9}-\dfrac{29}{4}\right)\times\dfrac{36}{17}=\dfrac{75}{100}\)
\(\left(1,16-x\right)\times5,25\div\dfrac{119}{36}=\dfrac{17}{48}\)
\(\left(1,16-x\right)\times5,25=\dfrac{2023}{1728}\)
\(1,16-x=\dfrac{289}{1296}\)
\(x=0,9370061728\)
52 ×.(y : 78) = 3380
y : 78 = 3380 : 52
y : 78 = 65
y = 65 ×. 78
y = 5070
a: \(x-\frac25+\frac{7}{12}=\frac12\cdot\frac34\cdot\frac{-9}{16}\)
=>\(x-\frac{24}{60}+\frac{35}{60}=\frac38\cdot\frac{-9}{16}=\frac{-27}{128}\)
=>\(x=-\frac{27}{128}-\frac{11}{60}=\frac{-27\cdot15-11\cdot32}{1920}=-\frac{757}{1920}\)
b: \(\frac49x-\frac12=-\frac59\)
=>\(\frac49x=-\frac59+\frac12=\frac{-10+9}{18}=\frac{-1}{18}\)
=>\(x=-\frac{1}{18}:\frac49=-\frac{1}{18}\cdot\frac94=\frac{-1}{2\cdot4}=-\frac18\)
c: \(-\frac23x+\frac58=\frac{7}{12}\)
=>\(-\frac23x=\frac{7}{12}-\frac58=\frac{14}{24}-\frac{15}{24}=-\frac{1}{24}\)
=>\(x=\frac{1}{24}:\frac23=\frac{1}{24}\cdot\frac32=\frac{1}{8\cdot2}=\frac{1}{16}\)
d: \(\frac25x:\frac73\cdot\frac18=\frac{29}{15}\)
=>\(x\cdot\frac25\cdot\frac37\cdot\frac18=\frac{29}{15}\)
=>\(x\cdot\frac{3}{4\cdot5\cdot7}=\frac{29}{15}\)
=>\(x=\frac{29}{15}:\frac{3}{140}=\frac{29}{15}\cdot\frac{140}{3}=\frac{29\cdot28}{3\cdot3}=\frac{812}{9}\)
1^3-3^5-(-3^5)+1^64-2^9-1^36+1^15
=1+(-3^5+3^5)+1-2^9-1+1
=2-2^9
=-510
ai trl giúp mình được không, mình xin ấy:<<