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
3)(-1,42-(-3,22)):(-0,4)+(-6)*(-0,7)
4)(-7/18+11/12)/(19/48)
5)(-3 1/12 - 2 1/15):(5 3/20)?

Answer 1

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

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

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

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

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