Question

a total of 19,000 students entered big state university in the fall of 2013. the following table breaks down the student body by race and gender:

	male	female	total
african - american	380	950	1,330
hispanic	1,900	1,900	3,800
asian	950	1,900	2,850
other	2,185	2,185	4,370
total	8,265	10,735	19,000

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	decimal	percent

the portion of students that are female and white is $\frac{3,800}{19,000}$. which of the following represent fractions that are equivalent to $\frac{3,800}{19,000}$? check all that apply.

$square\frac{760}{1,900}$
$square\frac{380}{1,900}$
$square\frac{380}{19,000}$
$square\frac{3,800}{1,900}$

Explanation:

Step1: Find fraction of male and African - American students

The number of male and African - American students is 380, and the total number of students is 19000. So the fraction is $\frac{380}{19000}=\frac{1}{50}$.

Step2: Convert fraction to decimal

To convert $\frac{1}{50}$ to a decimal, divide 1 by 50: $1\div50 = 0.02$.

Step3: Convert decimal to percent

To convert 0.02 to a percent, multiply by 100: $0.02\times100 = 2\%$.

For the equivalent - fraction part:
Simplify $\frac{3800}{19000}=\frac{2}{10}=\frac{1}{5}$.

• For $\frac{760}{1900}$, simplify: $\frac{760\div190}{1900\div190}=\frac{4}{10}=\frac{2}{5}$ (not equivalent).
• For $\frac{380}{1900}$, simplify: $\frac{380\div380}{1900\div380}=\frac{1}{5}$ (equivalent).
• For $\frac{380}{19000}$ (not equivalent).
• For $\frac{3800}{1900}$ (not equivalent).

Answer:

Male and African - American:
Fraction: $\frac{1}{50}$
Decimal: $0.02$
Percent: $2\%$
Equivalent fractions to $\frac{3800}{19000}$: $\frac{380}{1900}$