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\(a,\dfrac{2}{3}.\dfrac{5}{4}-\dfrac{3}{4}.\dfrac{2}{3}=\dfrac{2}{3}.\left(\dfrac{5}{4}-\dfrac{3}{4}\right)=\dfrac{2}{3}.\dfrac{2}{4}=\dfrac{1}{3}\)
\(b,2.\left(\dfrac{-3}{2}\right)-\dfrac{7}{2}=-6.\dfrac{1}{2}-7.\dfrac{1}{2}=\left(-6-7\right).\dfrac{1}{2}=-13.\dfrac{1}{2}=\dfrac{-13}{2}\)
\(c,-\dfrac{3}{4}.5\dfrac{3}{13}-0,75.\dfrac{36}{13}=-\dfrac{3}{4}.\left(\dfrac{68}{13}-\dfrac{36}{13}\right)=-\dfrac{3}{4}.\dfrac{32}{13}=-\dfrac{24}{13}\)
a) \(\dfrac{2}{3}.\dfrac{5}{4}-\dfrac{3}{4}.\dfrac{2}{3}\)
\(=\dfrac{2}{3}.\left(\dfrac{5}{4}-\dfrac{3}{4}\right)\)
\(=\dfrac{2}{3}.\dfrac{2}{4}\)
\(=\dfrac{2}{3}.\dfrac{1}{2}\)
\(=\dfrac{1}{3}\)
b) \(2.\left(\dfrac{-3}{2}\right)^2-\dfrac{7}{2}\)
\(=2.\dfrac{9}{4}-\dfrac{7}{2}\)
\(=\dfrac{9}{2}-\dfrac{7}{2}\)
\(=\dfrac{2}{2}=1\)
c) \(-\dfrac{3}{4}.5\dfrac{3}{13}-0,75.\dfrac{36}{13}\)
\(=-\dfrac{3}{4}.\dfrac{68}{13}-\dfrac{3}{4}.\dfrac{36}{13}\)
\(=\dfrac{3}{4}.\dfrac{-68}{13}-\dfrac{3}{4}.\dfrac{36}{13}\)
\(=\dfrac{3}{4}.\left(\dfrac{-68}{13}-\dfrac{36}{13}\right)\)
\(=\dfrac{3}{4}.\dfrac{-104}{13}\)
\(=\dfrac{3}{4}.\left(-8\right)\)
\(=-6\)
A=(9-3/5+2/3)-(7+7/5-3/2)-(9/5+5/2)
A=9 -3/5 +2/3-7-7/5+3/2-9/5-5/2
A=(9-7)-(3/5+7/5 +9/5)+(3/2-5/2)+2/3
=2-19/5-1+2/3= -32/15
\(A=\frac{1}{5}-\frac{3}{7}+\frac{5}{9}-\frac{2}{11}+\frac{7}{13}-\frac{9}{16}-\frac{7}{13}+\frac{2}{11}-\frac{5}{9}+\frac{3}{7}-\frac{1}{5}\)
\(=\left(\frac{1}{5}-\frac{1}{5}\right)+\left(-\frac{3}{7}+\frac{3}{7}\right)+\left(\frac{5}{9}-\frac{5}{9}\right)+\left(-\frac{2}{11}+\frac{2}{11}\right)+\left(\frac{7}{13}-\frac{7}{13}\right)-\frac{9}{16}\)
\(=0+0+0+0+0+\frac{9}{16}=\frac{9}{16}\)
B=(1/5-1/5) + (-3/7+3/7) + (5/9-5/9) + (-2/11+2/11) + (7/13-7/13) - 9/16
= 0 + 0 + 0 + 0 + 0 - 9/16
=-9/16
A= 1/3- 3/4+ 3/5+ 1/72- 2/9- 1/36+ 1/15
A= ( 1/3- 3/5+ 1/15) - (3/4- 1/72+ 2/9+ 1/36)
A= (5/15- 9/15+ 1/15) - (54/72- 1/72+ 16/72+ 2/36)
A= 1- 71/72
A= 1/72
\(A=9-\frac{3}{5}+\frac{2}{3}-7-\frac{7}{5}+\frac{3}{2}-3+\frac{9}{5}-\frac{5}{2}\)
\(=\left(9-7-3\right)+\left(\frac{9}{5}-\frac{7}{5}-\frac{3}{5}\right)+\left(\frac{3}{2}-\frac{5}{2}\right)\)
\(=-2-\frac{1}{5}=-\frac{11}{5}\)
TH1: \(A=\left(9-\frac35+\frac23\right)-\left(7+\frac75-\frac32\right)-\left(3-\frac95+\frac52\right)\)
\(=\left(\frac{135}{15}-\frac{9}{15}+\frac{10}{15}\right)-\left(\frac{70}{10}+\frac{14}{10}-\frac{15}{10}\right)-\left(\frac{30}{10}-\frac{18}{10}+\frac{25}{10}\right)\)
\(=\frac{136}{15}-\frac{69}{10}-\frac{37}{10}=\frac{136}{15}-\frac{106}{10}=\frac{272}{30}-\frac{318}{30}=-\frac{46}{30}=-\frac{23}{15}\)
TH2: \(A=\left(9-\frac35+\frac23\right)-\left(7+\frac75-\frac32\right)-\left(3-\frac95+\frac52\right)\)
\(=9-\frac35+\frac23-7-\frac75+\frac32-3+\frac95-\frac52\)
\(=\left(9-7-3\right)+\left(-\frac35-\frac75+\frac95\right)+\left(\frac32-\frac52\right)+\frac23=-1-\frac15-1+\frac23\)
\(=-2-\frac15+\frac23=-\frac{30}{15}-\frac{3}{15}+\frac{10}{15}=-\frac{23}{15}\)