A new drug to treat the symptoms of a cold brought relief to 9 1/0 of the patients who took it, and 5/6 of those patients felt improvement within 3 days. What fraction of the total number of patients in the study felt improvement within 3 days of taking the drug? Write the answer in simplest form.(1 point)
Responses
To find the fraction of the total number of patients who felt improvement within 3 days, we can multiply the fractions representing the number of patients who felt relief and the number of patients who felt improvement within 3 days.
Fraction of patients who felt relief = 9 1/10 = 91/10
Fraction of patients who felt improvement within 3 days = 5/6
The fraction of the total number of patients who felt improvement within 3 days is (91/10) * (5/6).
To simplify the fraction, we can cancel common factors between the numerator and denominator. The factors that can be cancelled are 5 and 10.
(91/10) * (5/6) = (91 * 5) / (10 * 6) = 455/60
So, the fraction of the total number of patients in the study who felt improvement within 3 days of taking the drug is 455/60.