Question

1. eddie noticed that out of 10 students, 1 student was wearing brown shoes, and 7 students were wearing black shoes. what fraction of students were not wearing brown or black shoes?

Explanation:

Step1: Find the fraction of students wearing brown or black shoes

The fraction of students wearing brown shoes is $\frac{1}{10}$, and the fraction wearing black shoes is $\frac{7}{10}$.
To find the total fraction of students wearing brown or black shoes, we add these two fractions:
$$\frac{1}{10}+\frac{7}{10}=\frac{1 + 7}{10}=\frac{8}{10}=\frac{4}{5}$$

Step2: Find the fraction of students not wearing brown or black shoes

We know that the total (represented by 1) minus the fraction of students wearing brown or black shoes gives the fraction of students not wearing brown or black shoes.
Since $1=\frac{10}{10}$, we calculate:
$$\frac{10}{10}-\frac{8}{10}=\frac{10-8}{10}=\frac{2}{10}=\frac{1}{5}$$

Answer:

$\frac{1}{5}$