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.
To find the fraction of the U.S. population with undiagnosed diabetes, we need to multiply the fraction of people with diabetes by the fraction of people with diabetes who have not been diagnosed.
Fraction of people with diabetes: 1/10
Fraction of people with diabetes who have not been diagnosed: 2/5
To find the fraction with undiagnosed diabetes, we multiply these fractions:
(1/10) * (2/5) = 2/50
The fraction of the U.S. population with undiagnosed diabetes is 2/50, which can be simplified to 1/25.