1. a) [tex] \frac{3}{7} : \frac{5}{4}= \frac{3}{4}* \frac{4}{5}= \frac{12}{35} [/tex] ≈ 0.342857
b) [tex] \frac{10}{9}: \frac{15}{21}= \frac{10}{9}* \frac{21}{15}= \frac{10}{9}* \frac{7}{5}= \frac{2}{9}*7= \frac{14}{9} [/tex] ≈ [tex]1 \frac{5}{9} [/tex] ≈ 1.55556
c) [tex] \frac{5}{3}:1* \frac{2}{3}= \frac{10}{9} [/tex] ≈ [tex]1 \frac{1}{9} [/tex] ≈ 1.11111
d) [tex]0: \frac{8}{3}=0 [/tex]
e) [tex] \frac{4}{7}: \frac{12}{14}: \frac{2}{3}= \frac{4}{7}* \frac{14}{12}* \frac{3}{2}=2* \frac{2}{4}= 2* \frac{1}{2}=1[/tex]
f) [tex] \frac{4}{7}: (\frac{12}{14}: \frac{2}{3})= \frac{4}{7}:( \frac{12}{14}* \frac{3}{2})= \frac{4}{7}:( \frac{6}{14}*3)=\frac{4}{7}:( \frac{3}{7}*3)= \frac{4}{7}: \frac{9}{7} [/tex][tex]= \frac{4}{7}* \frac{7}{9} =4* \frac{1}{9}= \frac{4}{9} [/tex] ≈ 0.444444
2. a) [tex] \frac{4}{15}:0.6= \frac{4}{15}: \frac{3}{5}= \frac{4}{15}* \frac{5}{3}= \frac{4}{3} * \frac{1}{3}= \frac{4}{9} [/tex] ≈ 0.444444
b) [tex] \frac{7}{6}:14= \frac{7}{6}* \frac{1}{14}= \frac{1}{6}* \frac{1}{2}= \frac{1}{12} [/tex] ≈ 0.0833333
c) [tex]8: \frac{3}{5}=8* \frac{5}{3}= \frac{40}{3} [/tex] ≈ [tex]13 \frac{1}{3} [/tex] ≈ 13.33333
d) [tex]2* \frac{4}{5}:0.7= 2* \frac{4}{5}: \frac{7}{10}= 2* \frac{4}{5}: \frac{10}{7}=2*4* \frac{2}{7}= \frac{16}{7} [/tex] ≈ [tex]2 \frac{2}{7} [/tex] ≈ 2.28571
e) [tex]0.2*6: \frac{2}{15}= \frac{1}{5}*6* \frac{15}{2}=3*3=9 [/tex]
f) 0.15:0.16=0.9375 ≈ [tex] \frac{15}{16} [/tex]
3. a) [tex]( \frac{3}{4}+ \frac{1}{2}): \frac{15}{8}= \frac{5}{4}* \frac{8}{15}= \frac{2}{3} [/tex] ≈ 0.666667
b) [tex]( \frac{2}{5}-0.1): 0.6=( \frac{2}{5}- \frac{1}{10}): \frac{3}{5}= \frac{3}{10}* \frac{5}{3}= \frac{1}{2} [/tex] ≈ 0.5
