Verified answer

Объяснение:

1.008

[tex]1)\\\frac{3\frac{1}{3}+2,5 }{2,5-1\frac{1}{3} } =\frac{\frac{10}{3}+\frac{5}{2} }{\frac{5}{2} -\frac{4}{3} } =\frac{\frac{20+15}{6} }{\frac{15-8}{6} } =\frac{\frac{35}{6} }{\frac{7}{6} } =5.\\2)\\\frac{4,6-2\frac{1}{3} }{4,6+2\frac{1}{3} } =\frac{\frac{23}{5} -\frac{7}{3} }{\frac{23}{5}+\frac{7}{3} } =\frac{\frac{69-35}{15} }{\frac{69+35}{15} }=\frac{\frac{34}{35} }{\frac{104}{35} } =\frac{34}{104}=\frac{17}{52} .\\ 3)\\5*\frac{17}{52} *5,2=\frac{5*17*52}{52*10} =\frac{17}{2} .[/tex]

[tex]4)\\\frac{0,05}{\frac{1}{7}-0,125 } =\frac{\frac{1}{20} }{\frac{1}{7} -\frac{1}{8} }=\frac{\frac{1}{20} }{\frac{8-7}{56} }=\frac{56}{20}=\frac{28}{10}=2,8.\\ 5)2,8+5,7=8,5=\frac{85}{10}=\frac{17}{5} .\\ 6)\\ \frac{17}{2}:\frac{17}{5}=\frac{17*5}{2*17} =\frac{5}{2}=2,5.[/tex]

Ответ: 2,5.

1.009

Упростим числитель дроби:

[tex]1)\\8*(5-0,8*\frac{5}{8} )=8*(5-\frac{8*5}{10*8} )=8*(5-\frac{5}{10})=8*(5-0,5)=8*4,5=36.\\2)\\5:2\frac{1}{2} =5:2,5=2.\\3)\\0,4+36-2=34,4.\\[/tex]

Упростим знаменатель дроби:

[tex]1)\\1\frac{7}{8} *8=\frac{15}{8}*8=15.\\ 2)\\8,9-2,6:\frac{2}{3} =8,9-\frac{13}{5} *\frac{3}{2}=8,9-\frac{39}{10}=8,9-3,9=5.\\ 3)\\ 15-5=10.\\4)\\10*34\frac{2}{5} =10*34,4=344.\ \ \ \ \ \Rightarrow\\[/tex]

[tex]1)\ \frac{34,4}{344} =\frac{1}{10} =0,1.\\2)\ 0,1*90=9.[/tex]

Ответ: 9.