Răspuns:
a) [tex]\frac{1}{60}[/tex]
b) [tex]\frac{45}{2}[/tex]
Explicație pas cu pas:
a) [tex]\frac{4}{25} : \frac{16}{5} - \frac{11}{10} : \frac{33}{2} =[/tex]
[tex]\frac{4}{25}*\frac{5}{16} - \frac{11}{10} * \frac{2}{33} =[/tex]
simplificam 4 cu 16, 25 cu 5, 11 cu 33 si 10 cu 2
[tex]\frac{1}{5} *\frac{1}{4} -\frac{1}{5} * \frac{1}{3} =[/tex]
[tex]\frac{1}{20} - \frac{1}{15} =[/tex]
amplificam 1/20 cu 3 si 1/15 cu 4
[tex]\frac{3}{60} - \frac{4}{60} =[/tex]
[tex]\frac{4-3}{60} =[/tex][tex]\frac{1}{60}[/tex]
b) [tex]1\frac{6}{11}:\frac{3}{44} - \frac{5}{27} :\frac{10}{9}=[/tex]
[tex]\frac{17}{11} * \frac{44}{3} - \frac{5}{27} * \frac{9}{10} =[/tex]
simplificam 11 cu 44, 5 cu 10 si 9 cu 27
[tex]17*\frac{4}{3} -\frac{1}{3} * \frac{1}{2} =[/tex]
[tex]\frac{68}{3} - \frac{1}{6}=[/tex]
amplificam 68/3 cu 2
[tex]\frac{136}{6} - \frac{1}{6} =[/tex]
[tex]\frac{136-1}{6} =[/tex]
[tex]\frac{135}{6} =[/tex]
simplificam 135 cu 6
[tex]\frac{45}{2}[/tex]
