Final answer:
The product of 5/18 and 6 is calculated by multiplying the two values together and simplifying the result. The final simplified product is 5/3 or 1 2/3 as a mixed number.
Step-by-step explanation:
The product of 5/18 and 6 is found by multiplying the two numbers. When multiplying a fraction by a whole number, we multiply the numerator (top part) of the fraction by the whole number while keeping the same denominator (bottom part). So, we calculate as follows:
\(\frac{5}{18} \times 6\) is the same as \(\frac{5 \times 6}{18}\). This results in \(\frac{30}{18}\), which can be simplified by dividing both numerator and denominator by their greatest common divisor, which is 6.
Therefore, the simplified result is \(\frac{30 \div 6}{18 \div 6} = \frac{5}{3}\), or \(1 \frac{2}{3}\) when expressed as a mixed number.