Răspuns: [tex]\color{red}\Large \boxed{ \bf \dfrac{34}{80} <\dfrac{35}{80} }[/tex]
Explicație pas cu pas:
Buna!
[tex]\large \bf f = \bigg( \dfrac{3}{4}\bigg)^{2} \cdot 1\dfrac{5}{9}-\dfrac{5}{8}:1\dfrac{7}{18}[/tex]
[tex]\large \bf f = \dfrac{3^{2}}{4^{2}} \cdot \dfrac{1\cdot 9+5}{9}-\dfrac{5}{8}:\dfrac{1\cdot 18+7}{18}[/tex]
[tex]\large \bf f = \dfrac{9}{16} \cdot \dfrac{14}{9}-\dfrac{5}{8}:\dfrac{25}{18}[/tex]
[tex]\large \bf f = \dfrac{\not9}{\not16} \cdot \dfrac{\not14}{\not9}-\dfrac{5}{8}\cdot \dfrac{18}{25}[/tex]
[tex]\large \bf f = \dfrac{1}{8} \cdot \dfrac{7}{1}-\dfrac{\not5}{\not8}\cdot \dfrac{\not18}{\not25}[/tex]
[tex]\large \bf f = \dfrac{7}{8} -\dfrac{1}{4}\cdot \dfrac{9}{5}[/tex]
[tex]\large \bf f = \dfrac{7\cdot 5}{8\cdot 5} -\dfrac{9\cdot 2}{20 \cdot 2}[/tex]
[tex]\large \bf f = \dfrac{35-18}{40} \implies[/tex] [tex]\large \bf f = \!{^{^{^{^{^{^{\displaystyle 2)}}}}}}}\!\!\!\dfrac{17}{40}[/tex]
[tex]\color {blue}\large \boxed{\boxed{\bf f = \dfrac{34}{80} }}[/tex]
[tex]\it~~[/tex]
[tex]\large \bf f = \dfrac{7}{16} = \dfrac{7\cdot 5}{16\cdot 5} =[/tex] [tex]\color{lime}\large \boxed{\boxed{ \bf \dfrac{35}{80} }}[/tex]
[tex]\it~~[/tex]
[tex]\color{red}\Large \boxed{ \bf \dfrac{34}{80} <\dfrac{35}{80} }[/tex]
==pav38==
