Question

________________________________

Answer 1

Здравствуйте!

1).

$3frac{2}{5} : x= 6frac{4}{5} : 1 frac{1}{3}\\6frac{4}{5}*x=3frac{2}{5} * 1 frac{1}{3}\\frac{34}{5}*x=frac{17}{5} *frac{4}{3}\\x= frac{17}{5} * frac{4}{3}:frac{34}{5}\\x= frac{17}{5} *frac{4}{3}*frac{5}{34}\\x=frac{17*4*5}{5*3*34} \\x=frac{1*4*1}{1*3*2} \\x=frac{2}{3}$

2).

$7frac{1}{3} : 2 frac{1}{2} = 3frac{2}{3} : y\\y*7frac{1}{3} =2 frac{1}{2}*3frac{2}{3}\\y=2 frac{1}{2}*3frac{2}{3}: 7frac{1}{3} \\y=frac{5}{2} *frac{11}{3} *frac{3}{22}\\y=frac{5*11*3}{2*3*22} \\y=frac{5*1*1}{2*1*2} \\y=frac{5}{4} \\y=1frac{1}{4}$

3).

$4frac{2}{5} : x=8frac{4}{5} : 2frac{1}{2} \\8frac{4}{5} *x=2frac{1}{2} *4frac{2}{5} \\x=2frac{1}{2} *4frac{2}{5} : 8frac{4}{5} \\x=frac{5}{2} *frac{22}{5} *frac{8}{44} \\x=frac{5*22*8}{2*5*44} \\x=frac{1*1*4}{1*1*2} \\x=frac{4}{2} \\x=2$

4).

$6frac{1}{2} : 3frac{3}{4} =3frac{1}{4} :y\\6frac{1}{2}*y= 3frac{3}{4} *3frac{1}{4}\\y= 3frac{3}{4}*3frac{1}{4} :6frac{1}{2}\\y=frac{15}{4} *frac{13}{4} *frac{2}{13} \\y=frac{15*13*2}{4*4*13} \\y=frac{15*1*1}{2*4*1} \\y=frac{15}{8} \\y=1frac{7}{8}$