In Mr. Xang's French class, there are thirty-eight male students and forty-two female students. How do you express a ratio of female students to male students in simplest form?

Question

Roman Alvarez · Accepted Answer

Ratio of female students to male students in simplest form is #21/19# We have #38# male students and #42# female students. Hence ratio of female students #42# to male students #38# is #42/38=(2xx3xx7)/(2xx19)# = #(cancel2xx3xx7)/(cancel2xx19)# = #21/19#

Emery Allen · Answer

undefined To express the ratio of female students to male students in simplest form, you divide the number of female students by the number of male students:

$$ \text{Ratio of female students to male students} = \frac{\text{Number of female students}}{\text{Number of male students}} $$

In this case, there are 42 female students and 38 male students:

$$ \text{Ratio} = \frac{42}{38} $$

To simplify this ratio, find the greatest common divisor (GCD) of 42 and 38, which is 2. Divide both numbers by 2:

$$ \frac{42}{38} = \frac{21}{19} $$

Therefore, the ratio of female students to male students in simplest form is $ \frac{21}{19} $.