write the rate as a fraction in lowest terms 4 persons for 24 dresses
To write the given rate as a fraction in lowest terms, you would write the ratio of persons to dresses and then reduce it to its simplest form.
Given rate: 4 persons for 24 dresses can be written as a fraction (persons per dress) like this:
\(\frac{4\text{ persons}}{24\text{ dresses}}\)
Now to reduce this fraction to its lowest terms, you divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 4 and 24 is 4.
Dividing both by 4 gives:
\(\frac{4 \div 4}{24 \div 4}\) = \(\frac{1\text{ person}}{6\text{ dresses}}\)
So, the rate in the lowest terms is 1 person for every 6 dresses.