Respuesta :

Answer:

[tex]Fraction = \frac{5}{7}[/tex]

Explanation:

Given

[tex]black: red = 2 : 5[/tex]

Required

Determine the fraction of red

First, we calculate the total ratio.

[tex]Total = black + red[/tex]

Substitute values for black and red

[tex]Total = 2 + 5[/tex]

[tex]Total = 7[/tex]

The fraction of red is then calculated as:

[tex]Fraction = \frac{Red}{Total}[/tex]

[tex]Fraction = \frac{5}{7}[/tex]