\(\frac{3}{2}\)- ( 5 \(\frac{3}{8}\)+ X - \(\frac{75}{24}\)) : 16 \(\frac{2}{3}\)= \(\frac{1}{2}\)
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\(=\frac{16}{5}.\frac{15}{16}-\left(\frac{3}{4}+\frac{2}{7}\right):\left(\frac{-29}{28}\right)\)
\(=3-\left(\frac{21}{28}+\frac{8}{28}\right):\left(\frac{-29}{28}\right)\)
\(=3-\left(\frac{29}{28}\right).\left(\frac{-28}{29}\right)\)
\(=3-\left(-1\right)\)
\(=4\)
b) \(=\left(\frac{1}{4}+\frac{25}{2}-\frac{5}{16}\right):\left(12-\frac{7}{12}:\left(\frac{3}{8}-\frac{1}{12}\right)\right)\)
\(=\left(\frac{4}{16}+\frac{200}{16}-\frac{5}{16}\right):\left(12-\frac{7}{12}:\left(\frac{3.3}{2.3.4}-\frac{2}{2.3.4}\right)\right)\)
\(=\left(\frac{199}{16}\right):\left(12-\frac{7}{12}:\left(\frac{9}{24}-\frac{2}{24}\right)\right)\)
\(=\frac{199}{16}:\left(12-\frac{7}{12}.\frac{24}{7}\right)\)
\(=\frac{199}{16}:\left(12-2\right)\)
\(=\frac{199}{16}:10\)
\(=\frac{199}{160}\)
c) \(\left(\frac{-3}{5}+\frac{5}{11}\right):\frac{-3}{7}+\left(\frac{-2}{5}+\frac{6}{5}\right):\frac{-3}{7}\)
\(\left(\frac{-33}{55}+\frac{25}{55}\right):\frac{-3}{7}+\left(\frac{4}{5}\right):\frac{-3}{7}\)
\(\left(\frac{-8}{55}\right).\frac{-7}{3}+\frac{4}{5}.\frac{-7}{3}\)
\(\frac{-7}{3}\left(\frac{-8}{55}+\frac{4}{5}\right)\)
\(\frac{-7}{3}.\frac{36}{55}=\frac{-84}{55}\)
\(\left(-2+\left(\frac{3}{8}-\frac{5}{24}\right)+\frac{37}{9}x\right):\frac{50}{3}=1\)
\(\left(-2\frac{4}{24}+\frac{37}{9}x\right)=\frac{3}{50}\)
\(\frac{37}{9}x=\frac{3}{50}--2\frac{4}{24}=\frac{3}{50}+2\frac{4}{24}=2\frac{26}{100}=2\frac{13}{50}=\frac{113}{50}\)
\(x=\frac{113}{50}:\frac{37}{9}=\frac{113}{50}x\frac{9}{37}=\frac{1017}{1850}\)
vậy x=1017/1850
nếu chưa rút gọn về pstg thì các bn làm tiếp nhé đâu tay lắm
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
\(\frac{3}{2}-\left(5\frac{3}{8}+x-\frac{75}{24}\right):16\frac{2}{3}\)\(=\frac{1}{2}\)
\(\left(5\frac{3}{8}+x-\frac{75}{24}\right):16\frac{2}{3}=\frac{3}{2}-\frac{1}{2}\)
\(\left(5\frac{3}{8}+x-\frac{75}{24}\right):16\frac{2}{3}=1\)
\(5\frac{3}{8}+x-\frac{75}{24}\)\(=1.16\frac{2}{3}\)
\(5\frac{3}{8}+x-\frac{75}{24}=\frac{50}{3}\)
\(5\frac{3}{8}+x=\frac{50}{3}+\frac{75}{24}\)
\(5\frac{3}{8}+x=\frac{475}{24}\)
\(x=\frac{475}{24}-5\frac{3}{8}\)
\(x=\frac{173}{12}\)