\(a,\left(-2,4+\dfrac{1}{3}\right):3\dfrac{1}{10}+75\%:1\dfrac{1}{2}\)
\(b,1,25:\dfrac{15}{20}+\left(25\%-\dfrac{5}{6}\right):4\dfrac{2}{3}\)
\(c,\left(-2,5+3\dfrac{1}{2}\right):75\%-\left(\dfrac{1}{2}-\dfrac{1}{6}\right)\)
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\(1,A=-\dfrac{3}{4}.\left(0,125-1\dfrac{1}{2}\right):\dfrac{33}{16}-25\%\)
\(A=-\dfrac{3}{4}.\left(0,125-\dfrac{3}{2}\right):\dfrac{33}{16}-\dfrac{1}{4}\)
\(A=-\dfrac{3}{4}.\left(-\dfrac{11}{8}\right):\dfrac{33}{16}-\dfrac{1}{4}\)
\(A=\dfrac{33}{32}:\dfrac{33}{16}-\dfrac{1}{4}\)
\(A=\dfrac{33}{32}.\dfrac{16}{33}-\dfrac{1}{4}\)
\(A=\dfrac{1}{2}-\dfrac{1}{4}\)
\(A=\dfrac{2}{4}-\dfrac{1}{4}\)
\(A=\dfrac{1}{4}\)
a. \(10,\left(3\right)+0,\left(4\right)-8,\left(6\right)\)
\(\Leftrightarrow\dfrac{31}{3}+\dfrac{4}{9}-\dfrac{26}{3}\)
\(=\dfrac{19}{9}\)
b. \(\dfrac{0,8:\left(\dfrac{4}{5}.1,25\right)}{0,64-\dfrac{1}{25}}+\dfrac{\left(1,08-\dfrac{2}{25}\right):\dfrac{4}{7}}{\left(6\dfrac{5}{9}-3\dfrac{1}{4}\right).2\dfrac{2}{17}}+\left(1,2.0,5\right):\dfrac{4}{5}\)
\(=\dfrac{0,8}{0,6}+\dfrac{1,75}{7}+0,6:\dfrac{4}{5}\)
\(=\dfrac{0,8}{0,6}+\dfrac{1,75}{7}+\dfrac{3}{4}\)
\(=\dfrac{7}{3}\)
2: \(=\dfrac{203}{60}\cdot\dfrac{81}{1225}=\dfrac{783}{3500}\)
e: \(=\dfrac{5^{30}\cdot3^{20}}{3^{15}\cdot5^{30}}=3^5=243\)
\(A=4.\dfrac{25}{16}+25.\left[\dfrac{9}{16}:\dfrac{125}{64}\right]:\dfrac{-27}{8}\)
\(=\dfrac{25}{16}+25.\dfrac{36}{125}:\dfrac{-27}{8}=-\dfrac{137}{240}\left(1\right)\)
\(B=125.\left[\dfrac{1}{25}+\dfrac{1}{64}:8\right]-64.\dfrac{1}{64}\)
\(=125.\dfrac{89}{1600}:8-64.\dfrac{1}{64}=\dfrac{-67}{512}\left(2\right)\)
Vì (2) > (1) => B > A
a; (- 2,4 + \(\dfrac{1}{3}\)): 3\(\dfrac{1}{10}\) + 75%: 1\(\dfrac{1}{2}\)
= - \(\dfrac{31}{15}\) : \(\dfrac{31}{10}\) + \(\dfrac{3}{4}\):\(\dfrac{3}{2}\)
= - \(\dfrac{2}{3}\) + \(\dfrac{1}{2}\)
= - \(\dfrac{1}{6}\)
c; (- 2,5 + 3\(\dfrac{1}{2}\)) : 75% - (\(\dfrac{1}{2}\) - \(\dfrac{1}{6}\))
= 1 : \(\dfrac{3}{4}\) - \(\dfrac{1}{3}\)
= \(\dfrac{4}{3}\) - \(\dfrac{1}{3}\)
= 1
b; 1,25 : \(\dfrac{15}{20}\) + (25% - \(\dfrac{5}{6}\)) : 4\(\dfrac{2}{3}\)
= \(\dfrac{5}{3}\)+ (\(\dfrac{1}{4}\) - \(\dfrac{5}{6}\)):\(\dfrac{14}{3}\)
= \(\dfrac{5}{3}\) - \(\dfrac{7}{12}\): \(\dfrac{14}{3}\)
= \(\dfrac{5}{3}\) - \(\dfrac{1}{8}\)
= \(\dfrac{37}{24}\)