1/10 of the current us population has diabetes. 2/5 of the people with diabetes have not been diagnosed with the disease. what fraction of the us population has undiagnosed diabetes? write the answer in the simplest form.
To find the fraction of the US population with undiagnosed diabetes, we need to multiply the fraction of people with diabetes who have not been diagnosed by the fraction of the current US population that has diabetes.
Fraction of people with undiagnosed diabetes = (2/5) * (1/10)
Multiplying the numerators (2 * 1) and denominators (5 * 10):
= 2/50
Therefore, the fraction of the US population with undiagnosed diabetes is 2/50, which can be simplified to 1/25.