Respuesta :

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

  • [tex]\large\sf\frac { 8 } { 15 } : 0.6\\[/tex]

[tex] \sf\frac { 8 } { 15 } : 0.6 \\ [/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

To solve these type of questions, we need to at first Express [tex]\sf\frac{\frac{8}{15}}{0.6}\\[/tex] as a single fraction.

[tex] \sf\frac{\frac{8}{15}}{0.6} \\ [/tex]

Put the denominator of 8 which is 15 together with 0.6. (Make 15 & 0.6 as the denominator of the fraction leaving 8 as the numerator).

[tex] \sf\frac{8}{15\times 0.6} \\ [/tex]

Multiply 15 and 0.6 to get 9.

[tex] \sf\frac{8}{9} \\ [/tex]

8/9 cannot be further simplified. So, 8/9 in the ratio form will be :-

[tex] \huge \boxed{\boxed{ \bf \: 8 : 9}}[/tex]

  • So, the correct answer is 8:9 (option D.)