Question 1/10 of the current U.S. population has diabetes. 2/5 of the people with diabetes have not been diagnosed with the disease. What fraction of the U.S. population has undiagnosed diabetes? Write the answer in simplest form.(1 point)Responses210Start Fraction 2 over 10 End Fraction250Start Fraction 2 over 50 End Fraction12Start Fraction 1 over 2 End Fraction125
To find the fraction of the U.S. population with undiagnosed diabetes, we need to multiply the fractions representing the proportion of the population with diabetes and the proportion of people with diabetes who have not been diagnosed.
Question 1/10 of the U.S. population has diabetes, so the fraction representing the proportion of the population with diabetes is 1/10.
2/5 of the people with diabetes have not been diagnosed, so the fraction representing the proportion of people with diabetes who have not been diagnosed is 2/5.
To find the fraction of the U.S. population with undiagnosed diabetes, we multiply these two fractions:
(1/10) * (2/5) = 2/50 = 1/25
So, the fraction of the U.S. population with undiagnosed diabetes is 1/25.