Question

there are 32 men and 8 women on an airplane. what is the ratio of the number of female passengers to the number of male passengers? write your answer as a fraction. use a slash ( / ) to separate the numerator and denominator.

Explanation:

Step1: Identify the quantities

We have 8 female passengers and 32 male passengers. The ratio of female to male is female count over male count.
So, the numerator is 8 (female) and the denominator is 32 (male).

Step2: Simplify the fraction (optional, but let's check)

We can simplify \(\frac{8}{32}\) by dividing numerator and denominator by 8. \(\frac{8\div8}{32\div8}=\frac{1}{4}\)? Wait, no, wait. Wait, the question is ratio of female to male. Wait, female is 8, male is 32. So ratio is 8/32. But maybe we can simplify. 8 divided by 8 is 1, 32 divided by 8 is 4. Wait, but let's confirm the numbers. Female: 8, Male:32. So ratio of female to male is 8/32, which simplifies to 1/4? Wait, no, wait, 8/32 = 1/4? Wait, 8 times 4 is 32. So yes. But maybe the question just wants the unsimplified or simplified? Let's check the problem statement. It says "Write your answer as a fraction. Use a slash (/) to separate the numerator and denominator." So we can write 8/32 or simplify to 1/4. Wait, but let's see: female is 8, male is 32. So 8/32. But 8 and 32 have a common factor of 8. So 8÷8=1, 32÷8=4. So 1/4. Wait, but maybe the problem expects 8/32? Wait, no, ratio of female to male: female is 8, male is 32. So 8:32, which is 8/32 = 1/4. So the fraction is 8/32 or 1/4. But let's see, 8 divided by 32 is 0.25, and 1/4 is also 0.25. So either is correct, but maybe simplify. So let's do that.

Wait, step 1: Determine the number of female and male. Female: 8, Male:32. Step 2: Ratio of female to male is female/male = 8/32. Step 3: Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 8. So 8÷8=1, 32÷8=4. So the simplified fraction is 1/4.

Answer:

1/4