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 of the us population has undiagnosed diabetes?
Answers
GPT 3.5
To find the fraction of the US population with undiagnosed diabetes, we first need to find the fraction of the population with diabetes.
Given that 1/10 of the US population has diabetes, the fraction of the population with diabetes is 1/10.
Next, we need to find the fraction of people with diabetes who have not been diagnosed.
Given that 2/5 of the people with diabetes have not been diagnosed, the fraction of people with undiagnosed diabetes is 2/5.
Therefore, the fraction of the US population with undiagnosed diabetes is (1/10) * (2/5) = 2/50 = 1/25.
So, the answer is 1/25.
Given that 1/10 of the US population has diabetes, the fraction of the population with diabetes is 1/10.
Next, we need to find the fraction of people with diabetes who have not been diagnosed.
Given that 2/5 of the people with diabetes have not been diagnosed, the fraction of people with undiagnosed diabetes is 2/5.
Therefore, the fraction of the US population with undiagnosed diabetes is (1/10) * (2/5) = 2/50 = 1/25.
So, the answer is 1/25.