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 in simpliest form
To find the fraction of the U.S. population with undiagnosed diabetes, we need to multiply the fraction of the entire population with diabetes by the fraction of those with undiagnosed diabetes.
Fraction of the U.S. population with diabetes = 1/10
Fraction of people with diabetes who are undiagnosed = 2/5
Fraction of the U.S. population with undiagnosed diabetes = (1/10) * (2/5) = 2/50
Simplifying this fraction, we get:
2/50 = 1/25
Therefore, the fraction of the U.S. population with undiagnosed diabetes is 1/25.