Explicație pas cu pas:
[tex] \large \bf \bigg(3 \dfrac{1}{2} :2 \dfrac{1}{3} \bigg): \bigg(6 : \dfrac{12}{19} \bigg) = [/tex]
[tex] \large \bf \bigg( \dfrac{3 \cdot2 + 1}{2} : \dfrac{2\cdot3 + 1}{3} \bigg): \bigg( 6 \cdot\dfrac{19}{12} \bigg) = [/tex]
[tex]\large \bf \bigg( \dfrac{7}{2} : \dfrac{7}{3} \bigg): \bigg( \not6 \cdot \dfrac{19}{ \not12} \bigg) = [/tex]
[tex]\large \bf \bigg( \dfrac{7}{2} \cdot \dfrac{3}{7} \bigg): \bigg( 1 \cdot \dfrac{19}{ 2} \bigg) = [/tex]
[tex]\large \bf \bigg( \dfrac{ \not7}{2} \cdot \dfrac{3}{ \not7} \bigg): \dfrac{19}{ 2}= [/tex]
[tex]\large \bf \bigg( \dfrac{1}{2} \cdot \dfrac{3}{ 1} \bigg) \cdot \dfrac{2}{19}= [/tex]
[tex]\large \bf \dfrac{3}{ 2} \cdot \dfrac{2}{19}= [/tex]
[tex]\large \bf \dfrac{3}{ \not 2} \cdot \dfrac{\not2}{19}= [/tex]
[tex] \color{red}\Large \boxed{ \bf \dfrac{3}{ 19}}[/tex]
