Respuesta :

Answer :-

[tex]\odot [/tex][tex]\sf {\dfrac {-1}{3}}[/tex]

[tex]{\bigcirc}[/tex]0

[tex]\bigcirc [/tex][tex]\sf {\dfrac {-2}{3}}[/tex]

[tex]\bigcirc [/tex][tex]\sf {\dfrac {1}{3}}[/tex]

__________________

Calculations:-

Let's understand the concept:-

  • Here for solution We need to find Value of a first .
  • Then we can find the required value.

Solution:-

  • First write the given equation

[tex]\longrightarrow[/tex][tex]\sf {\dfrac {a}{4}}={\dfrac {2}{3}}[/tex]

  • Use cross multiplication method

[tex]\longrightarrow[/tex][tex]\sf 3a=2×4 [/tex]

[tex]\longrightarrow[/tex][tex]\sf 3a=8 [/tex]

  • Now interchange both sides and get a

[tex]\longrightarrow[/tex][tex]\sf a={\dfrac {8}{3}}[/tex]

Now,

  • Substitute the values in the equation

[tex]\longrightarrow[/tex][tex]\sf {\dfrac {a-4}{4}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf {\dfrac {{\dfrac {8}{3}}-4}{4}}[/tex]

  • Simplify

[tex]\longrightarrow[/tex][tex]\sf ({\dfrac {8}{3}}-4)\times {\dfrac {1}{4}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf ({\dfrac {8-12}{3}})\times{\dfrac{1}{4}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf {\dfrac {{\cancel{-4}}}{3}}\times {\dfrac {1}{{\cancel{4}}}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf {\dfrac {-1}{3}}[/tex]

[tex]\therefore[/tex][tex]{\underline{\boxed{\bf {\dfrac {(a-4)}{4}}={\dfrac {-1}{3}}}}}[/tex]