2. Выполните действия: 1) 5 5/9 + 3 1/6 − 6 4/27; 2) 5 5/7 + 3 11/14 − 2 1/4; 3) 12 13/48 − (9 17/32 − 4 5/24); 4) (18 − 10 18/35) − (3 9/28 + 2 3/20).

Question

Вопрос:

Accepted Answer

\(5\dfrac{5}{9}+3\dfrac{1}{6}-6\dfrac{4}{27}=\dfrac{50}{9}+\dfrac{19}{6}-\dfrac{166}{27}=\dfrac{300+171-332}{54}=\dfrac{139}{54}=2\dfrac{31}{54}\). Ответ: \(2\dfrac{31}{54}\).
\(5\dfrac{5}{7}+3\dfrac{11}{14}-2\dfrac{1}{4}=\dfrac{40}{7}+\dfrac{53}{14}-\dfrac{9}{4}=\dfrac{160+106-63}{28}=\dfrac{203}{28}=7\dfrac{7}{28}=7\dfrac{1}{4}\). Ответ: \(7\dfrac{1}{4}\).
\(12\dfrac{13}{48}-\left(9\dfrac{17}{32}-4\dfrac{5}{24}\right)=\dfrac{589}{48}-\left(\dfrac{305}{32}-\dfrac{101}{24}\right)=\dfrac{589}{48}-\dfrac{511}{96}=\dfrac{1178-511}{96}=\dfrac{667}{96}=6\dfrac{91}{96}\). Ответ: \(6\dfrac{91}{96}\).
\(\left(18-10\dfrac{18}{35}\right)-\left(3\dfrac{9}{28}+2\dfrac{3}{20}\right)=\left(\dfrac{630}{35}-\dfrac{368}{35}\right)-\left(\dfrac{93}{28}+\dfrac{43}{20}\right)=\dfrac{262}{35}-\dfrac{383}{70}=\dfrac{524-383}{70}=\dfrac{141}{70}=2\dfrac{1}{70}\). Ответ: \(2\dfrac{1}{70}\).

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