\(\frac{232323.29}{23.292929}=\frac{23.29.10101}{23.29.10101}=1\)

\(=\frac{23\times29}{23\times29}=1\)

\(\frac{23.2323.29}{23.292929}=\frac{23.23.101.29}{23.10101.29}=\frac{23.101}{10101}=\frac{2323}{10101}\)

\(3C=\frac{3}{1.2.3.4}+\frac{3}{2.3.4.5}+...+\frac{3}{27.28.29.30}\)

\(3C=\frac{4-1}{1.2.3.4}+\frac{5-2}{2.3.4.5}+...+\frac{30-27}{27.28.29.30}\)

\(3C=\frac{1}{1.2.3}-\frac{1}{2.3.4}+\frac{1}{2.3.4}-\frac{1}{3.4.5}+...+\frac{1}{27.28.29}+\frac{1}{28.29.30}\)

\(3C=\frac{1}{1.2.3}-\frac{1}{28.29.30}\Rightarrow C=\left(\frac{1}{1.2.3}-\frac{1}{28.29.30}\right):3\)

1135/23-167/32+330/23

=(1135/23-330/23)+167/32

=805/23+167/32

=35+167/32

=1120/32+167/32

=1287/32

 Kết quả : 

    \(=\frac{37}{53}x\frac{23}{48}x\frac{53}{37}x\frac{24}{23}\) 

    \(=\left(\frac{37}{53}x\frac{53}{37}\right)x\left(\frac{23}{48}x\frac{24}{23}\right)\)

    \(=1x\frac{24}{48}\)

    \(=1x\frac{1}{2}\)

    \(=\frac{1}{2}\)

37/53 x 23/48 x 535353/373737x242424/232323= 1/5 =0,5

\(A=\frac{17}{23}\cdot\frac{8}{16}\cdot\frac{23}{17}\cdot\left(-80\right)\cdot\frac{3}{4}\)\(=\frac{17\cdot4\cdot2\cdot23\cdot16\cdot\left(-5\right)\cdot3}{23\cdot16\cdot17\cdot4}\)

=> \(A=\frac{2\cdot\left(-5\right)\cdot3}{1}=-30\)

\(B=\left(\frac{13}{23}+\frac{1313}{2323}-\frac{131313}{232323}\right)\left(\frac{1}{3}+\frac{1}{4}-\frac{7}{12}\right)\)

=> \(B=\left(\frac{13}{23}+\frac{1313}{2323}-\frac{131313}{232323}\right)\left(\frac{7}{12}-\frac{7}{12}\right)\)

=> \(B=\left(\frac{13}{23}+\frac{1313}{2323}-\frac{131313}{232323}\right)\cdot0=0\)

a)\(A=\frac{17}{23}.\frac{8}{16}.\frac{23}{17}.\left(-80\right).\frac{3}{4}\)

    \(A=\left(\frac{17}{23}.\frac{23}{17}\right).\left(\frac{8}{16}.\frac{3}{4}\right).\left(-80\right)\)

     \(A=\frac{3}{8}.\left(-80\right)\)

     \(A=-30\)

b)\(C=\left(\frac{13}{23}+\frac{1313}{2323}-\frac{131313}{232323}\right).\left(\frac{1}{3}+\frac{1}{4}-\frac{7}{12}\right)\)

   \(C=\left(\frac{13}{23}+\frac{1313}{2323}-\frac{131313}{232323}\right).0\)

   \(C=0\)

171717/232323 = 17.10101/23.10101 = 17/23 < 19/23

Rút gọn phân số ta có:

              171717 : 10101 = 17

              232323 : 10101 = 23

Và bằng 17/23 < 19/23.

\(\frac{2323}{9999}=\frac{23.101}{99.101}=\frac{23}{99}\)

\(\frac{232323}{999999}=\frac{23.10101}{99.10101}=\frac{23}{99}\)

KL 3 phân số = nhau