Question

1. at a homecoming game, there are 630 students and 1080 alumni in attendance. express the ratio of students to alumni as a fraction in simplest form. explain its meaning.

Explanation:

Step1: Write the ratio as a fraction

The ratio of students to alumni is $\frac{630}{1080}$.

Step2: Simplify the fraction

Find the greatest common divisor (GCD) of 630 and 1080. The GCD of 630 and 1080 is 90. Divide both the numerator and the denominator by 90: $\frac{630\div90}{1080\div90}=\frac{7}{12}$.

Answer:

$\frac{7}{12}$ (This fraction means that for every 7 students, there are 12 alumni, or the number of students is $\frac{7}{12}$ of the number of alumni.)