Question

1) 2 1/7 : 1 11/14
2) 3 3/5 : 1 11/25
3) 1 7/9 * 2 2/5 : 1 3/5
4) ( 3 1/2 : 4 2/3 + 4 2/3 : 3 1/2) * 4 4/5
5) - 5,7 : (-19) - 0,8 * (-4) + 2,7 : 0,3 
С подроб. решением

Answer 1

1)
$2frac{1}{7}:1frac{11}{14}=frac{7*2+1}{7}:frac{14*1+11}{14}=frac{15}{7}:frac{25}{14}=frac{15}{7}*frac{14}{25}= \ \ =frac{15}{1}*frac{2}{25}=frac{3}{1}*frac{2}{5}=frac{3*2}{1*5}=frac{6}{5}=1frac{1}{5}$

2)
$3frac{3}{5}:1frac{11}{25}=frac{5*3+3}{5}:frac{25*1+11}{25}=frac{18}{5}:frac{36}{25}= \ \ =frac{18}{5}*frac{25}{36}=frac{18}{1}*frac{5}{36}=frac{1}{1}*frac{5}{2}=frac{5}{2}$

3)
$1frac{7}{9}*2frac{2}{5}:1frac{3}{5}=frac{9*1+7}{9}*frac{5*2+2}{5}:frac{5*1+3}{5}=frac{16}{9}*frac{12}{5}:frac{8}{5}=frac{16}{9}*frac{12}{5}*frac{5}{8}= \ \ =frac{2}{9}*frac{12}{5}*frac{5}{1}=frac{2}{3}*frac{4}{5}*frac{5}{1}=frac{2}{3}*frac{4}{1}*frac{1}{1}=frac{2*4}{3}=frac{8}{3}=2frac{2}{3}$

4)
$(3frac{1}{2}:4frac{2}{3}+4frac{2}{3}:3frac{1}{2})*4frac{4}{5}=(frac{2*3+1}{2}:frac{3*4+2}{3}+frac{3*4+2}{3}:frac{2*3+1}{2})*frac{5*4+4}{5}= \ \ =(frac{7}{2}:frac{14}{3}+frac{14}{3}:frac{7}{2})*frac{24}{5}=(frac{7}{2}*frac{3}{14}+frac{14}{3}*frac{2}{7})*frac{24}{5}= \ \ =(frac{1}{2}*frac{3}{2}+frac{2}{3}*frac{2}{1})*frac{24}{5}=(frac{3}{4}+frac{4}{3})*frac{24}{5}=(frac{3*4+4*3}{4*3})*frac{24}{5}= \ \ =frac{24}{12}*frac{24}{5}=2*frac{24}{5}=frac{48}{5}=9frac{3}{5}$

5)
$-5,7:(-19)-0,8*(-4)+2,7:0,3= \ \ =-frac{57}{10}:(-19)-frac{8}{10}*(-4)+frac{27}{10}:frac{3}{10}= \ \ =-frac{57}{10}*(-frac{1}{19})-frac{8}{10}*(-4)+frac{27}{10}*frac{10}{3}= \ \ =frac{57}{10}*frac{1}{19}+frac{8}{10}*4+frac{27}{10}*frac{10}{3}= \ \ =frac{3}{10}*frac{1}{1}+frac{8}{5}*2+frac{9}{1}*frac{1}{1}=frac{3}{10}+frac{16}{5}+9= \ \ =frac{3+2*16+10*9}{10}=frac{3+32+90}{10}=frac{125}{10}=12,5$