Answer: The estimated product is about 10.
Explanation:
To estimate the product, we can round 2 1/6 to 2 and 4 1/2 to 5. Then, we multiply 2 x 5 to get an estimated product of 10.
To find the exact product, we can use the following steps to multiply the two mixed numbers:
Convert each mixed number to an improper fraction:
2 1/6 = 13/6
4 1/2 = 9/2
Multiply the two fractions:
(13/6) x (9/2) = (13 x 9) / (6 x 2) = 117/12
Simplify the fraction, if possible:
117/12 = 9 3/4
Therefore, the exact product of 2 1/6 x 4 1/2 is 9 3/4.