1/10 of the current U.S. population had diabetes. 2/5 of the people with diabetes have not been have not been diagnosed with a decease. what fraction of the U.S. population has undiagnosed diabetes? write the answer in the simplest form.
To solve the problem, we need to find the fraction of the U.S. population that has undiagnosed diabetes.
Let's break it down step by step:
1/10 of the current U.S. population has diabetes.
This can be represented as 1/10 * (U.S. population).
Now, 2/5 of the people with diabetes have not been diagnosed.
This can be represented as 2/5 * (1/10 * U.S. population).
Simplifying the expression:
2/5 * 1/10 * U.S. population = (2 * 1) / (5 * 10) * U.S. population
= 2/50 * U.S. population
= 1/25 * U.S. population
Therefore, the fraction of the U.S. population with undiagnosed diabetes is 1/25.