Răspuns:
6. a) [tex]\frac{5}{7} * \frac{42}{15}[/tex] = [tex]\frac{6}{3}[/tex] = 2 b) [tex]\frac{17}{150} * \frac{300}{34}[/tex]= [tex]\frac{2}{2}[/tex] = 1 se simplifica 150 cu 300 si 17 cu 34
c) 11 * [tex]\frac{6}{20*6+1}[/tex]= [tex]\frac{11*6}{121}[/tex] = [tex]\frac{6}{11}[/tex]
7. [tex]\frac{3}{4} : \frac{2*3+1}{3}[/tex] = [tex]\frac{3}{4} * \frac{3}{7}[/tex] = [tex]\frac{9}{28}[/tex] [tex]\frac{7}{3} : \frac{3}{4}[/tex] = [tex]\frac{7}{3} *\frac{4}{3}[/tex] = [tex]\frac{28}{9}[/tex]
[tex]\frac{3*5+1}{5} : \frac{1*4+1}{4}[/tex] = [tex]\frac{16}{5} * \frac{4}{5}[/tex] = [tex]\frac{64}{25}[/tex] [tex]\frac{5}{4} : \frac{16}{5}[/tex] =[tex]\frac{5}{4} * \frac{5}{16}[/tex] = [tex]\frac{25}{64}[/tex]
9. a) [tex]\frac{19}{130} * \frac{260}{38} =[/tex] [tex]\frac{2}{2} =1[/tex] b) [tex]\frac{17}{1} : \frac{6*31+1}{6}[/tex] = [tex]\frac{17}{1} * \frac{6}{187}[/tex] = [tex]\frac{6}{11}[/tex]
c) [tex]\frac{14}{1} : \frac{3*2+1}{2}[/tex] = [tex]\frac{14}{1} * \frac{2}{7}[/tex] = 4 d) [tex]\frac{3*6+5}{6} : \frac{12*1+11}{12}[/tex]= [tex]\frac{23}{6} * \frac{12}{23}[/tex] =2
e) [tex]\frac{3*5+4}{5} : \frac{1*17+2}{17} =[/tex][tex]\frac{19}{5} * \frac{17}{19}[/tex]= [tex]\frac{17}{5}[/tex]
g) [tex]\frac{4*31+1 }{4} :\frac{20*6+5}{6}[/tex] = [tex]\frac{125}{4} * \frac{6}{125}[/tex]= [tex]\frac{6}{4} =\frac{3}{2}[/tex]
h) [tex]\frac{3*20+2}{3} : \frac{4*15+2}{4}[/tex] = [tex]\frac{62}{3} * \frac{4}{62}[/tex] = [tex]\frac{4}{3}[/tex]
