Answer:
[tex]\frac{a}{b} = \frac{5}{6}[/tex]
Step-by-step explanation:
See attachment for complete question.
In the attachment, by comparison: we have:
[tex]a : b = 7.5 : 9[/tex]
Convert ratio to fraction
[tex]\frac{a}{b} = \frac{7.5}{9}[/tex]
Simplify the fraction
[tex]\frac{a}{b} = \frac{7.5/1.5}{9/1.5}[/tex]
[tex]\frac{a}{b} = \frac{5}{6}[/tex]
Hence:
Base on the attachment, the solution to the question is:
[tex]\frac{a}{b} = \frac{5}{6}[/tex]