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 the simplest form. (1 point)
The fraction of the U.S. population that has undiagnosed diabetes is (2/5) * (1/10) = 2/50 = 1/25. Answer: \boxed{\frac{1}{25}}.
To find the fraction of the U.S. population with undiagnosed diabetes, we need to multiply the fraction of people with diabetes who are undiagnosed (2/5) by the fraction of the current U.S. population with diabetes (1/10).
Multiplying these fractions together, we get:
(2/5) * (1/10) = 2/50
Simplifying the fraction, we find that the fraction of the U.S. population with undiagnosed diabetes is 1/25.
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 undiagnosed diabetes.
Let's start by finding the fraction of the U.S. population with diabetes, which is given as 1/10.
Next, we need to find the fraction of people with diabetes who are undiagnosed. This fraction is given as 2/5.
To find the fraction of the U.S. population with undiagnosed diabetes, we multiply the two fractions:
(1/10) * (2/5) = 2/50
The answer, 2/50, can be simplified to its simplest form by dividing both the numerator and denominator by their greatest common divisor, which is 2:
(2/50) ÷ 2 = 1/25
Therefore, the fraction of the U.S. population with undiagnosed diabetes is 1/25.