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.

Answer 1

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.