Thực hiện phép tính :
12/10×25/12-(1/2+1/3):-5/6
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chia ra làm các nhóm (13-12+11)+(10-9+8)-(7-6+5) -(4+3+2-1)
hay ta thấy 3 nhóm đầu có tổng =số trừ trong các nhóm đó tức là 12+9-6+(4+3+2-1)
Hay= 23
a: \(=\dfrac{-\left(a-3\right)\left(a^2+3a+9\right)}{5\left(a+2\right)}\cdot\dfrac{3\left(a+2\right)}{a-3}\)
\(=\dfrac{-3\left(a^2+3a+9\right)}{5}\)
b: \(=\dfrac{\left(m-2\right)\left(m-3\right)}{\left(m+3\right)\left(m+4\right)}\cdot\dfrac{m+4}{\left(m-3\right)^2}\)
\(=\dfrac{\left(m-2\right)}{\left(m+3\right)\left(m-3\right)}\)
1/2*3+1/3*4+1/4*5 + 1/5*6 + .... + 1/99 * 100
= 1/2 -1/3 + 1/3 - 1/4 + 1/4 - 1/5 + 1/5 - 1/6 +..... + 1/99 - 1/100
= 1/2 - 1/100
= 49/100 nha bạn !
1/2x3+1/3x4+1/4x5+1/5x6+....+1/99x100
=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+....+1/99-1/100
=1/2-1/100=49/100
`30+2,8:(4/25 - 9/15 -1/6)`
`=30+2,8 :( -11/25-1/6)`
`=30+14/5 :(-19/150)`
`=30-60/13`
`=330/13`
\(a,\frac{-7}{25}.\frac{11}{13}+\frac{-7}{25}.\frac{2}{13}-\frac{18}{25}\)
\(=\frac{-7}{25}.\left(\frac{11}{13}+\frac{2}{13}\right)-\frac{18}{25}=\frac{-7}{25}-\frac{18}{25}=-1\)
\(b,\frac{5}{7}.\frac{1}{3}-\frac{5}{7}.\frac{1}{4}-\frac{5}{7}.\frac{1}{12}=\frac{5}{7}.\left(\frac{1}{3}-\frac{1}{4}-\frac{1}{12}\right)=\frac{5}{7}.\left(\frac{4}{12}-\frac{3}{12}-\frac{1}{12}\right)\)
\(=\frac{5}{7}.0=0\)
c)\(5\frac{2}{5}.4\frac{2}{7}+5\frac{5}{7}.5\frac{2}{5}=\frac{27}{5}.\frac{30}{7}+\frac{40}{7}.\frac{27}{5}=\frac{27}{5}.\left(\frac{30}{7}+\frac{40}{7}\right)\)
\(=\frac{27}{5}.10=27.2=54\)
\(d,75\%-1\frac{1}{2}+0,5:\frac{5}{12}-\left(\frac{-1}{2}\right)^2=\frac{3}{4}-\frac{3}{2}+\frac{1}{2}.\frac{12}{5}-\frac{1}{4}\)
\(=\left(\frac{3}{4}-\frac{1}{4}\right)-\frac{3}{2}+\frac{6}{5}=\frac{1}{2}-\frac{3}{2}+\frac{6}{5}=-1+\frac{6}{5}=\frac{-5}{5}+\frac{6}{5}=\frac{1}{5}\)
\(\frac{12}{10}\cdot\frac{25}{12}-\left(\frac{1}{2}+\frac{1}{3}\right):\left(-\frac{5}{6}\right)\)
\(=\frac{5}{2}-\frac{5}{6}:\left(-\frac{5}{6}\right)\)
\(=\frac{5}{2}+1\)
\(=\frac{7}{2}\)
kết quả : 3/2
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