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a/3 + 9 : 3
= 3 + 3
= 6
b/ =\(\frac{1}{2}\)+ \(\frac{1}{3}\)+ \(\frac{1}{4}\)+ 2 + 3 + 4
= \(\frac{13}{12}\)+ 9
= \(\frac{121}{12}\)
\(\frac{2}{6}+\frac{9}{24}\)
\(=\frac{8}{24}+\frac{9}{24}\)
\(=\frac{17}{24}\)
Tương Tự vs các câu còn lại
\(\frac{7}{2}+\frac{1}{3}-\frac{5}{2}\)
\(=\left(\frac{7}{2}-\frac{5}{2}\right)+\frac{1}{3}\)
\(=1+\frac{1}{3}\)
\(=\frac{4}{3}\)
Đặt \(A=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}\)
\(\Rightarrow A=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}\)
\(\Rightarrow A=1-\frac{1}{4}\)
\(\Rightarrow A=\frac{3}{4}\)
\(\frac{1}{1x2}+\frac{1}{2x3}+\frac{1}{3x4}\)
\(=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}\)
\(=\frac{1}{1}-\frac{1}{4}\)
\(=\frac{3}{4}\)
\(x\)bằng dấu nhân
A = \(\frac{1}{2.3}\)+ \(\frac{1}{3.4}\) + \(\frac{1}{4.5}\)+...+\(\frac{1}{9.10}\)
= (\(\frac{1}{6}\) + \(\frac{1}{12}\)) + ( \(\frac{1}{20}\)+\(\frac{1}{30}\) ) + ( \(\frac{1}{42}\)+\(\frac{1}{56}\) ) + ( \(\frac{1}{72}\)+ \(\frac{1}{90}\) )
= \(\frac{1}{4}\) + \(\frac{1}{12}\) + \(\frac{1}{24}\) + \(\frac{1}{40}\)
= (\(\frac{1}{4}\)+ \(\frac{1}{12}\) ) + ( \(\frac{1}{24}\)+ \(\frac{1}{40}\) )
= \(\frac{1}{3}\) + \(\frac{1}{15}\)
= \(\frac{2}{5}\)
=3-2/2*3+4-3/3*4+5-4/4*5+6-5/5*6 =3/2*3-2/2*3+4/3*4-3/3*4+5/4*5-4/4*5+6/5*6-5/5*6 =1/2-1/6 =4/12=1/3
`1 / 2 + 1 / 3 - 1 / 3 - 1 / 4`
`= ( 1 / 2 - 1 / 4 ) + ( 1 / 3 - 1 / 3 )`
`= ( 2 / 4 - 1 / 4 ) + 0`
`= 1 / 4`