Final answer:
To calculate the product of (-2 1/8) multiplied by (-3 2/3), both numbers are converted to improper fractions, and then multiplied. Since both numbers are negative, their product is positive. The final answer is 7 19/24.
Step-by-step explanation:
To calculate the product of the two numbers (-2 1/8) and (-3 2/3), we first convert them to improper fractions. The number -2 1/8 becomes -17/8, and -3 2/3 becomes -11/3. When we multiply two negative numbers, the result is positive.
Multiplying the numerators and the denominators separately, we have:
- Numerators: -17 x -11 = 187
- Denominators: 8 x 3 = 24
The product of the two numbers is thus 187/24. To convert this improper fraction back into a mixed number, we divide 187 by 24, which gives us 7 with a remainder of 19. Therefore, 187/24 is equal to 7 19/24.
In summary, (-2 1/8) multiplied by (-3 2/3) equals 7 19/24.