Răspuns:
Explicație pas cu pas:
Proprietatea fundamentala a proportiilor
[tex]\frac{a}{b} = \frac{c}{d} -> a * d = b * c[/tex]
c) [tex]\frac{2\frac{1}{2}+3 }{\frac{1}{2} + \frac{1}{3} } = \frac{0.(3)*1\frac{1}{5} }{4} ->[/tex]
[tex]\frac{\frac{2*2+1}{2}+3 }{\frac{1*3}{2*3} + \frac{1*2}{3*2} } = \frac{\frac{1}{3} *\frac{1*5+1}{5} }{4} ->[/tex]
[tex]\frac{\frac{5}{2}+\frac{3*2}{2} }{\frac{3}{6} + \frac{2}{6} } = \frac{\frac{1}{3} *\frac{6}{5} }{4} ->[/tex]
[tex]\frac{\frac{5}{2}+\frac{6}{2} }{\frac{5}{6} } = \frac{\frac{6}{15} }{4} ->[/tex]
[tex]\frac{\frac{11}{2} }{\frac{5}{6} } = \frac{\frac{6}{15} }{\frac{4}{1} } ->[/tex]
[tex]\frac{11}{2} * \frac{4}{1} = \frac{5}{6} * \frac{6}{15}[/tex]
[tex]\frac{44}{2} = \frac{30}{90}[/tex]
[tex]\frac{22}{1} = \frac{1}{3}[/tex]
22 * 3 = 1 * 1 -> nu sunt proportii
