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.
To find the fraction of the U.S. population with undiagnosed diabetes, we need to multiply the two fractions together: 1/10 * 2/5.
When we multiply fractions, we multiply the numerators and multiply the denominators separately: (1 * 2) / (10 * 5) = 2/50.
The fraction 2/50 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2: (2 ÷ 2) / (50 ÷ 2) = 1/25.
Therefore, 1/25 of the U.S. population is estimated to have undiagnosed diabetes.