Răspuns:
a)
[tex]\frac{a}{b} =\frac{2^{4} *3^{3} *5}{2^{2} *3^{4} *7} =\frac{2^{2}*5}{3*7} =\frac{20}{21}[/tex]
b)
[tex]\frac{a}{b} =\frac{2^{6} *3^{4} *5^{2}*7 }{2^{3} *3^{5} *5*7^{2} } =\frac{2^{3}*5}{3 *7} =\frac{40}{21}[/tex]
c)
[tex]\frac{a}{b} =\frac{3^{6} *5^{7}*11 }{3^{5} *5^{8}*13 } =\frac{3*11}{5 *13} =\frac{33}{65}[/tex]
d)
[tex]a=\frac{2}{3} +\frac{15}{4} *\frac{8}{25} =\frac{2}{3} +\frac{6}{5} =\frac{10+18}{15} =\frac{28}{15}[/tex]
[tex]b=\frac{27}{50} +\frac{10}{3} *\frac{9}{20} =\frac{27}{50} +\frac{3}{2} =\frac{27+75}{50} =\frac{102}{50}[/tex]
[tex]\frac{a}{b} =\frac{\frac{28}{15}}{\frac{102}{50} } =\frac{28}{15}*\frac{50}{102}=\frac{14*10}{3*51} =\frac{140}{153}[/tex]
e)
[tex]a=\frac{10}{3} +\frac{12}{5} *\frac{5}{18} =\frac{10}{3} +\frac{2}{3} =\frac{12}{3} =4[/tex]
[tex]b=7+\frac{10}{3} *\frac{3}{20} =7+\frac{1}{2} =\frac{15}{2}[/tex]
[tex]\frac{a}{b} =\frac{4}{\frac{15}{2}} =4*\frac{2}{15} =\frac{8}{15}[/tex]
Explicație pas cu pas:
