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3/2-(43/8+X-75/24):50/3=1/2
3/2-(43/8+X-75/24)=25/3
43/8+X-75/24=-41/6
43/8+X=(-41/6)+75/24
43/8+X=(-85/24)
X=85/24-43/8
X=-109/12
Vậy X=-109/12
\(\frac{3}{2}-\left(5\frac{3}{8}+x-\frac{75}{24}\right):16\frac{2}{3}\)\(=\frac{1}{2}\)
\(\left(5\frac{3}{8}+x-\frac{75}{24}\right):16\frac{2}{3}=\frac{3}{2}-\frac{1}{2}\)
\(\left(5\frac{3}{8}+x-\frac{75}{24}\right):16\frac{2}{3}=1\)
\(5\frac{3}{8}+x-\frac{75}{24}\)\(=1.16\frac{2}{3}\)
\(5\frac{3}{8}+x-\frac{75}{24}=\frac{50}{3}\)
\(5\frac{3}{8}+x=\frac{50}{3}+\frac{75}{24}\)
\(5\frac{3}{8}+x=\frac{475}{24}\)
\(x=\frac{475}{24}-5\frac{3}{8}\)
\(x=\frac{173}{12}\)
\(1)\)\(\frac{3}{4}\cdot2+\frac{5}{2}\cdot\frac{1}{3}=\frac{3}{2}+\frac{5}{6}=\frac{9+5}{6}=\frac{14}{6}=\frac{7}{3}\)
\(2)\)\(\frac{5}{2}+\frac{3}{11}\cdot\frac{7}{26}\left(19-6\right)=\frac{5}{2}+\frac{3\cdot7}{11\cdot2}=\frac{5}{2}+\frac{21}{22}==\frac{38}{11}\)
10,42 : (21,34 - \(\frac{1}{2}\))+\(\frac{2}{3}\).75%
=10,42 : 20,84 +\(\frac{2}{3}\).75%
=\(\frac{1}{2}\)+\(\frac{2}{3}\).75:100
=\(\frac{1}{2}\)+50:100
=\(\frac{1}{2}\)+\(\frac{1}{2}\)=1