To determine the type of number resulting from the product of [tex]\(\frac{4}{5}\)[/tex] and 15, let's break it down step by step.
1. Calculate the Product:
- The fraction given is [tex]\(\frac{4}{5}\)[/tex].
- The integer given is 15.
- To find the product, we multiply the fraction by the integer: [tex]\(\frac{4}{5} \times 15\)[/tex].
2. Perform the Multiplication:
- Multiply the numerator of the fraction (which is 4) by the integer (which is 15): [tex]\(4 \times 15 = 60\)[/tex].
- The denominator of the fraction remains 5.
- So, the product is [tex]\(\frac{60}{5}\)[/tex].
3. Simplify the Result:
- To simplify [tex]\(\frac{60}{5}\)[/tex], divide the numerator by the denominator: [tex]\(60 \div 5 = 12\)[/tex].
4. Determine the Type of Number:
- The result of the multiplication is 12.
- Since 12 is a whole number without any fractional or decimal part, it is an integer.
Hence, the product of [tex]\(\frac{4}{5}\)[/tex] and 15 is an integer. Therefore, according to the Closure Property:
The product of [tex]\(\frac{4}{5}\)[/tex] and 15 is _an integer_.
