10
of the current U.S. population has diabetes. E 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.
Let's assume the current U.S. population is "P".
If 10% of the current U.S. population has diabetes, then the number of people with diabetes is 0.1P.
If E of the people with diabetes have not been diagnosed, then the number of people with undiagnosed diabetes is E(0.1P).
The fraction of the U.S. population that has undiagnosed diabetes, in simplest form, is E(0.1P)/P = E(0.1).