Write numbers from $1$ to $15$ . What fraction of them are composite numbers?

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Solution

Step 1: Write the composite numbers from $1$ to $15$
The composite numbers are numbers that have more than $2$ factors.
The composite numbers from $1$ to $15$ are $4$ , $6$ , $8$ , $9$ , $10$ , $12$ , $14$ and $15$ .

Step 2: Write the fraction of composite numbers from $1$ to $15$
A fraction that represents a part of a whole is written as: $\frac{T h e n u m b e r o f p a r t s t a k e n o u t}{T h e t o t a l n u m b e r o f p a r t s}$
The number of composite numbers from $1$ to $15$ $= 8$
The total numbers from $1$ to $15$ $= 15$
The required fraction $= \frac{8}{15}$

Hence, the fraction of composite numbers from $1$ to $15$ is $\frac{8}{15}$ .

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