Question

Чему равно значение выражения: 1)18 5/12-7/12 * 1 19/21-17/72*2/3 2)(6 3/4-51/8: 1 9/32)*5/11 ,,22)): (-0,4)+(-6)*(-0,7) /18+11/12)/(19/48) 1/12 - 2 1/15): (5 3/20)?

Answer 1

$1.\\\\18\frac{5}{12} - \frac{7}{12}*1 \frac{19}{21} - \frac{17}{72}*\frac 2 3 = 18\frac{5}{12} - \frac{7}{12}*\frac{40}{21} - \frac{17}{108} = 18\frac{5}{12} - \frac{40}{36}- \frac{17}{108} = \\ \\ = 18\frac{15}{36}-1\frac 4{36} - \frac{17}{108} = 17\frac{33}{108} - \frac{17}{108} = 17\frac{16}{108} = 17\frac{4}{27}$

$2.\\\\(6 \frac 3 4 - \frac{51}{8}: 1\frac{9}{32})*\frac{5}{11} = (6 \frac 3 4 - \frac{51}{8}* \frac{32}{41})*\frac{5}{11} = (6 \frac 3 4 - \frac{204}{41})*\frac{5}{11}=\\\\=(6\frac{123}{164}-4\frac{40}{41})*\frac{5}{11} = (5\frac{287}{164}-4\frac{160}{164})*\frac{5}{11} = 1\frac{127}{164}*\frac{5}{11} =\frac{291}{164}*\frac{5}{11} =\frac{1455}{1804}$

$3.\\\\(-1,42-(-3,22)):(-0,4)+(-6)*(-0,7) = (3,22-1,42):(-0,4)+4,2 =\\ \\ = -\frac{1,8}{0,4} + 4,2 = -\frac{18}{4} + 4,2 = -4,5 + 4,2 = -0,3$

$4.\\ \\ (-\frac{7}{18}+\frac{11}{12}):\frac{19}{48} = \frac{-14+33}{36}*\frac{48}{19} = \frac{19}{36}*\frac{48}{19} = \frac 4 3 = 1 \frac 1 3$

$5. \\ \\ (-3\frac{1}{12}-2\frac{1}{15}):5\frac{3}{20} = -(3\frac{5}{60}+2\frac{4}{60})*\frac{20}{103} = -5\frac{9}{60} * \frac{20}{103} = -\frac{309}{60}*\frac{20}{103} = -1$