Question
What type of product will result from multiplying 3/5 and 3 pie
Fraction
Irrational
Rational a whole number
Fraction
Irrational
Rational a whole number
Answers
GPT-4o mini
To determine the product of \( \frac{3}{5} \) and \( 3\pi \), we can multiply them:
\[
\frac{3}{5} \times 3\pi = \frac{3 \times 3\pi}{5} = \frac{9\pi}{5}
\]
Here, \( \pi \) (pi) is an irrational number, and multiplying an irrational number by a rational number (like \( \frac{9}{5} \)) results in an irrational number. Therefore, the product \( \frac{9\pi}{5} \) is also an irrational number.
So the type of product you will get from multiplying \( \frac{3}{5} \) and \( 3\pi \) is **irrational**.
\[
\frac{3}{5} \times 3\pi = \frac{3 \times 3\pi}{5} = \frac{9\pi}{5}
\]
Here, \( \pi \) (pi) is an irrational number, and multiplying an irrational number by a rational number (like \( \frac{9}{5} \)) results in an irrational number. Therefore, the product \( \frac{9\pi}{5} \) is also an irrational number.
So the type of product you will get from multiplying \( \frac{3}{5} \) and \( 3\pi \) is **irrational**.