To determine the type of the product of \( \frac{4}{5} \) and \( 15 \), we can multiply the two numbers:
\[ \frac{4}{5} \times 15 = \frac{4 \times 15}{5} = \frac{60}{5} = 12 \]
Now let's classify the result:
- Rational numbers are numbers that can be expressed as a fraction \( \frac{a}{b} \) where \( a \) and \( b \) are integers and \( b \neq 0 \).
- Irrational numbers cannot be expressed as such a fraction.
- Integers are whole numbers (positive, negative, or zero).
- Zero is also considered either an integer or a rational number since it can be expressed as \( \frac{0}{1} \).
Since \( 12 \) is a whole number, it is classified as an integer. Additionally, because it can be expressed as \( \frac{12}{1} \), it is also a rational number.
Thus, the product of \( \frac{4}{5} \) and \( 15 \) is:
- An integer (specifically \( 12 \)).
- A rational number (since all integers are also rational).
In conclusion, the product \( \frac{4}{5} \times 15 = 12 \) is an integer and also a rational number. It is not an irrational number or zero.
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