Final answer:
The expression for 4 thirds times the product of 2 and 1 third is (4/3) × (2/3). When calculated, this equals 8/9.
Step-by-step explanation:
Writing the Mathematical Expression
To write an expression that shows 4 thirds times the product of 2 and 1 third you must first recognize that 4 thirds is the same as 4/3 and 1 third is 1/3. Then, you understand that the product of 2 and 1 third means 2 times 1/3, which is 2/3. Now, to create the expression for 4 thirds times the product of 2 and 1 third, you multiply 4/3 by 2/3. The resulting expression is (4/3) × (2/3).
To demonstrate further, this can be calculated as follows:
Multiply the denominators together: 3 times 3 equals 9.
So, the product is 8/9.
The complete expression (4/3) × (2/3) = 8/9 shows that 4 thirds times the product of 2 and 1 third equals to 8 ninths.