A total of 17,000 students entered Big State University in the fall of 2013. The following table breaks down the student body by race and gender:

Question

Male

Female

Total
White 3,400 2,550 5,950
African-American 680 680 1,360
Hispanic 1,700 1,700 3,400
Asian 1,700 850 2,550
Other 2,057 1,683 3,740
Total 9,537 7,463 17,000
Complete the following table by choosing the correct value representing the portion of students that is both male and African-American in fraction, decimal, and percent form.

Fraction
(1/100 or 1/50 or 1/25 or 4/25)
Decimal
(0.01 or 0.02 or 0.04 or 0.16)
Percent
(1% or 2% or 4% or 16%)
Male and African-American

Answer 1

To find the portion of students that is both male and African-American, we can use the given numbers from the table.

The number of male African-American students is 680, and the total number of students is 17,000.

1. Fraction: \[ \text{Fraction} = \frac{\text{Number of Male African-American Students}}{\text{Total Number of Students}} = \frac{680}{17000} \]

   To simplify this fraction, we can divide both the numerator and the denominator by 20: \[ \frac{680 \div 20}{17000 \div 20} = \frac{34}{850} \] Then, divide again by 17: \[ \frac{34 \div 17}{850 \div 17} = \frac{2}{50} \]

   So, the fraction that represents the portion of students that is both male and African-American is: \[ \frac{1}{25} \]

2. Decimal: \[ \text{Decimal} = \frac{680}{17000} \approx 0.04 \]

3. Percent: To convert the decimal to a percent: \[ \text{Percent} = 0.04 \times 100 = 4% \]

Final Values

• Fraction: \(\frac{1}{25}\)
• Decimal: \(0.04\)
• Percent: \(4%\)

You can fill in the corresponding choices:

• Fraction: \( \frac{1}{25} \)
• Decimal: \( 0.04 \)
• Percent: \( 4% \)