Question

1. add the following fractions. do not simplify the answer. select the correct answer. $\frac{2}{5}+\frac{4}{5}=$ a. $\frac{6}{5}$ b. $\frac{3}{5}$ c. $\frac{8}{5}$
2. this year the western palms college football team hosted 8 football games. the average number of people that attended each game was 3,214. altogether, how many people attended the football games? ______ people
3. which three of the following comparisons are correct? a. $\frac{1}{2}=\frac{2}{4}$ b. $\frac{3}{3}>\frac{5}{12}$ c. $\frac{1}{3}=\frac{2}{9}$ d. $\frac{3}{5}>\frac{1}{6}$ e. $\frac{1}{3}<\frac{1}{4}$

Explanation:

Step1: Add like fractions (Q10)

When adding fractions with the same denominator, add numerators:
$\frac{2}{5} + \frac{4}{5} = \frac{2+4}{5} = \frac{6}{5}$

Step2: Calculate total attendance (Q11)

Total = average per game × number of games:
$3214 \times 8 = 25712$

Step3: Verify each comparison (Q12)

• A: $\frac{1}{2} = \frac{2}{4}$ (simplify $\frac{2}{4}$ to $\frac{1}{2}$, correct)
• B: $\frac{3}{3}=1$, $\frac{5}{12}\approx0.417$, so $1 > 0.417$ (correct)
• C: $\frac{1}{3}\approx0.333$, $\frac{2}{9}\approx0.222$, not equal (incorrect)
• D: $\frac{3}{5}=0.6$, $\frac{1}{6}\approx0.167$, so $0.6 > 0.167$ (correct)
• E: $\frac{1}{3}\approx0.333$, $\frac{1}{4}=0.25$, so $0.333 > 0.25$ (incorrect)

Answer:

1. A. $\frac{6}{5}$
2. 25712
3. A. $\frac{1}{2} = \frac{2}{4}$, B. $\frac{3}{3} > \frac{5}{12}$, D. $\frac{3}{5} > \frac{1}{6}$