Ответ:
[tex] \Large \boxed{ - \frac{1}{8} }[/tex]
Пошаговое объяснение:
[tex] \large 1\frac{1}{4} + \frac{8}{11} \cdot2 \frac{1}{16} - 1 \frac{5}{18} : \frac{4}{9}~~~ \Rightarrow ~~~1 \frac{1}{4} = \boxed{ \frac{5}{4} } \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\large2 \frac{1}{16} = \boxed{ \frac{33}{16} } \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \large1 \frac{5}{18} = \boxed{\frac{23}{18} }[/tex]
[tex] \large \frac{5}{4} + \frac{8}{11} \cdot \frac{33}{16} - \frac{23}{18} \cdot \frac{9}{4} = \frac{5}{4 } + 1 \cdot \frac{3}{2} - \frac{23}{2} \cdot \frac{1}{4} \\ [/tex]
[tex] \large~~\Rightarrow ~~ \frac{5}{4} + \frac{3}{2} - \frac{23}{8} = \frac{10 + 12 - 23}{8} ~~~\Rightarrow ~~ ~\boxed{ - \frac{1}{8} } \\ [/tex]
[tex] \Large \boxed{otvet : - \frac{1}{8} }[/tex]
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Answers & Comments
Ответ:
[tex] \Large \boxed{ - \frac{1}{8} }[/tex]
Пошаговое объяснение:
[tex] \large 1\frac{1}{4} + \frac{8}{11} \cdot2 \frac{1}{16} - 1 \frac{5}{18} : \frac{4}{9}~~~ \Rightarrow ~~~1 \frac{1}{4} = \boxed{ \frac{5}{4} } \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\large2 \frac{1}{16} = \boxed{ \frac{33}{16} } \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \large1 \frac{5}{18} = \boxed{\frac{23}{18} }[/tex]
[tex] \large \frac{5}{4} + \frac{8}{11} \cdot \frac{33}{16} - \frac{23}{18} \cdot \frac{9}{4} = \frac{5}{4 } + 1 \cdot \frac{3}{2} - \frac{23}{2} \cdot \frac{1}{4} \\ [/tex]
[tex] \large~~\Rightarrow ~~ \frac{5}{4} + \frac{3}{2} - \frac{23}{8} = \frac{10 + 12 - 23}{8} ~~~\Rightarrow ~~ ~\boxed{ - \frac{1}{8} } \\ [/tex]
[tex] \Large \boxed{otvet : - \frac{1}{8} }[/tex]