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.

Answer 1

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.