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a,\(=\frac{-5}{9}+\frac{8}{15}+\frac{-2}{11}+\frac{-4}{9}+\frac{7}{15}\)
\(\left(\frac{-5}{9}+\frac{-4}{9}\right)+\left(\frac{8}{15}+\frac{7}{15}\right)+\frac{-2}{11}\)
=-1+1+-2/11
=0+-2/11
=-2/11
b,\(=\left(\frac{5}{13}+\frac{8}{13}\right)+\left(\frac{-20}{41}+\frac{-21}{40}\right)+\frac{-5}{17}\)
=1+-1+-5/17
=0+-5/17
=-5/17
c,\(=\left(\frac{1}{5}+\frac{4}{5}\right)+\left(\frac{-2}{9}+-\frac{7}{9}\right)+\frac{16}{17}\)
=1+-1+16/17
=0+16/17
=16/17
d,\(=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{99}-\frac{1}{101}\)
\(=\frac{1}{3}-\frac{1}{101}=\frac{98}{303}\)
a.\(\frac{-5}{9}\)+\(\frac{8}{15}\)+\(\frac{-2}{11}\)+\(\frac{4}{-9}\)+\(\frac{7}{15}\)
=\(\frac{-5}{9}\)+\(\frac{4}{-9}\)+\(\frac{8}{15}\)+\(\frac{7}{15}\)+\(\frac{-2}{11}\)
=(\(\frac{-5}{9}\)+\(\frac{-4}{9}\))+(\(\frac{8}{15}\)+\(\frac{7}{15}\))+\(\frac{-2}{11}\)
=(-1)+1+\(\frac{-2}{11}\)
=0+\(\frac{-2}{11}\)
=\(\frac{-2}{11}\).
\(a.\frac{108}{119}.\frac{107}{211}+\frac{108}{119}.\frac{104}{211}=\frac{108}{119}.\left(\frac{107}{211}+\frac{104}{211}\right)=\frac{108}{119}.1=108\)
=\(21\frac{13}{15}.\frac{-11}{5}+13\frac{2}{15}.\frac{-11}{5}+\frac{9}{16}\)
=\(\left(21\frac{13}{15}+13\frac{2}{15}\right).\frac{-11}{5}+\frac{9}{16}\)
= \(35.\frac{-11}{5}+\frac{9}{16}\)
= \(-77+\frac{9}{16}\)
= \(\frac{1223}{16}\)
\(=21\frac{13}{15}.\frac{-11}{5}+13\frac{2}{15}.\frac{-11}{5}\)\(+\frac{9}{16}\)
=\(\left(21\frac{13}{15}+13\frac{2}{15}\right).\frac{-11}{5}+\frac{9}{16}\)
\(=35.\frac{-11}{5}+\frac{9}{16}\)
\(=-77+\frac{9}{16}\)
\(=-77+1-\frac{7}{16}\)
\(=-77-\frac{7}{16}=-77\frac{7}{16}\)
Ta có:
\(21\frac{13}{15}.\frac{-11}{5}+13\frac{2}{15}:\frac{-5}{11}+\left(\frac{3}{4}\right)^2\)
\(=\frac{328}{15}.\frac{-11}{5}+\frac{197}{15}:\frac{-5}{11}+\frac{9}{16}\)
\(=\frac{328}{15}.\frac{-11}{5}+\frac{197}{15}.\frac{-11}{5}+\frac{9}{16}\)
\(=\frac{-5}{11}\left(\frac{328}{15}+\frac{197}{15}\right)+\frac{9}{16}\)
\(=\frac{-5}{11}.35+\frac{9}{16}\)
\(=\frac{-175}{11}+\frac{9}{16}\)
\(=\frac{-2701}{176}\)
Vậy........
â, -4/9(7/15+8/15)=-4/9
b,-5/4(16/25+9/25)=-5/4
,.....
dài quá mik làm ko hết
hok tốt
\(D=\frac{5^{11}.2^{13}}{5^4.4^{20}}=\frac{5^7.5^4.2^{13}}{5^4.\left(2^2\right)^{20}}=\frac{5^7.2^{13}}{2^{40}}=\frac{5^7.2^{13}}{2^{27}.2^{13}}=\frac{5^7}{2^{27}}\)