Question

1. a basketball team had 25 home games this season. of these tickets were completely sold out for 15 of the games. what fraction represents the number of home games that were sell - outs? what is the equivalent decimal form of the fraction?7. rose asks 200 students at her school about their favorite book genre. of the 200 students surveyed, 38 of them said that their favorite genre is a biography. what fraction of the students chose a biography as their favorite? what is the equivalent decimal form of the fraction?8. stem connection a machine in a factory makes a batch of 500 switches. quality control finds that 3 of the switches are defective. what fraction of the switches are not defective? what is the equivalent decimal form of the fraction?

Explanation:

Problem 6

Step1: Define total & sold-out games

Total home games = 25; Sold-out games = 15

Step2: Write the fraction

Fraction: $\frac{15}{25} = \frac{3}{5}$

Step3: Convert to decimal

$\frac{3}{5} = 3 \div 5 = 0.6$

Problem 7

Step1: Define total & biography fans

Total students = 200; Biography fans = 38

Step2: Write the simplified fraction

Fraction: $\frac{38}{200} = \frac{19}{100}$

Step3: Convert to decimal

$\frac{19}{100} = 0.19$

Problem 8

Step1: Calculate non-defective switches

Total switches = 500; Defective = 3; Non-defective = $500 - 3 = 497$

Step2: Write the fraction

Fraction: $\frac{497}{500}$

Step3: Convert to decimal

$\frac{497}{500} = 497 \div 500 = 0.994$

Answer:

1. Problem 6: Fraction = $\frac{3}{5}$, Decimal = $0.6$
2. Problem 7: Fraction = $\frac{19}{100}$, Decimal = $0.19$
3. Problem 8: Fraction = $\frac{497}{500}$, Decimal = $0.994$