Question

What fraction of the first twenty counting numbers (1,2,3,...,18,19,20) are composite numbers? 1) 1/2 2) 2/3 3) 3/4 4) 4/5

Answer 1

Out of the first twenty counting numbers, the fraction that are composite numbers is 11/20.

Step-by-step explanation:

In order to find the fraction of the first twenty counting numbers that are composite numbers, we need to determine how many of those numbers are composite. A composite number is a positive integer that has at least one divisor other than 1 and itself. We can identify composite numbers by checking for factors other than 1 and the number itself.

Step 1: List out the first twenty counting numbers: 1, 2, 3, ..., 18, 19, 20.

Step 2: Determine which numbers are composite by checking if they have any factors other than 1 and the number itself.

Step 3: Count the number of composite numbers and express it as a fraction out of 20.

After going through the list, we find that the composite numbers in the first twenty counting numbers are: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20. There are 11 composite numbers out of 20, so the fraction of composite numbers is 11/20.

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