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]