Final answer:
The product of multiplying 1 1/2 by 1 1/3 is achieved by converting to improper fractions, multiplying together, and simplifying the result. The simplified product is 2, which is a whole number.
Step-by-step explanation:
To multiply the expression given, which is 1 1/2 x 1 1/3, we first need to convert the mixed numbers to improper fractions. The first mixed number, 1 1/2, can be converted to 3/2 (since 1 * 2 + 1 = 3). The second mixed number, 1 1/3, can be converted to 4/3 (since 1 * 3 + 1 = 4). By multiplying these two fractions, we multiply the numerators together and multiply the denominators together, simplifying by common factors as needed:
\(\frac{3}{2} \times \frac{4}{3} = \frac{3 \times 4}{2 \times 3} = \frac{12}{6}\)
Upon simplifying the fraction 12/6, we see that both the numerator and the denominator can be divided by 6, which results in a whole number:
\(\frac{12}{6} = \frac{6 \times 2}{6 \times 1} = 2\)
Thus, the product of 1 1/2 and 1 1/3 is 2, a whole number. No further simplification is needed as this is the simplest form of the expression given.