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\(\frac{5.18-10.27+15.36}{10.36-20.54+30.72\left(not27\right)}=\frac{5.18-10.27+15.36}{4\left(5.18-10.27+15.36\right)}=\frac{1}{4}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có : \(\dfrac{3}{1^2.2^2}+\dfrac{5}{2^2.3^2}+...+\dfrac{31}{15^2.16^2}\)
= \(\dfrac{2^2-1^2}{1^2.2^2}+\dfrac{3^2-2^2}{2^2.3^2}+...+\dfrac{16^2-15^2}{15^2.16^2}\)
= \(\dfrac{1}{1^2}-\dfrac{1}{2^2}+\dfrac{1}{2^2}-\dfrac{1}{3^2}+...+\dfrac{1}{15^2}-\dfrac{1}{16^2}\)
= \(1-\dfrac{1}{16^2}< 1\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(-\frac{9}{22}+\frac{5}{31}+\frac{-13}{22}+\frac{88}{31}+\frac{1}{2}\)
\(=-1+3+\frac{1}{2}\)
\(=2+\frac{1}{2}\)
\(=\frac{5}{2}\)
= \(\left(\frac{-9}{22}+\frac{-13}{22}\right)+\left(\frac{5}{31}+2\frac{26}{31}\right)+0,5\)
= \(-1+3+0,5\)
= \(2+0,5\)
= \(2,5\)
k mik nhé
♥♪♕ ๖ۣۜHắc ๖ۣۜTiểu ๖ۣۜThư ♕♪♥
\(-\frac{7}{15}+\frac{5}{31}+\frac{-8}{15}+\frac{26}{31}=\frac{-7-8}{15}+\frac{5+26}{31}\)
\(=\frac{-15}{15}+\frac{31}{31}\)
\(=-1+1\)
= 0
\(\left(\frac{-7}{15}\right)+\frac{5}{31}+\left(\frac{-8}{15}\right)+\frac{26}{31}\)
\(=\left[\left(\frac{-7}{15}\right)+\left(\frac{-8}{15}\right)\right]+\left(\frac{5}{31}+\frac{26}{31}\right)\)
\(=\frac{-15}{15}+\frac{31}{31}\)
\(=-1+1\)
\(=0\)