Final answer:
The product of 2 7/10 x 1 11/12 is found by converting mixed numbers to improper fractions, multiplying them, and simplifying the result. The final product is 5 7/40, which does not match any of the provided choices, suggesting there may be an error in the question or the options provided.
Step-by-step explanation:
To find the product of 2 7/10 x 1 11/12, first convert the mixed numbers to improper fractions. For 2 7/10, which is (2 x 10) + 7 / 10, we get the improper fraction 27/10. For 1 11/12, which is (1 x 12) + 11 / 12, the improper fraction is 23/12.
Now, multiply the numerators and denominators separately:
- Numerators: 27 x 23 = 621
- Denominators: 10 x 12 = 120
So, the result is 621/120.
To simplify the fraction 621/120, we divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 621 and 120 is 1, so the fraction is already in simplest form. Next, we convert the improper fraction back to a mixed number:
621 divided by 120 gives us 5 with a remainder of 21. So, we have 5 and 21/120. Since 21 and 120 have a common factor of 3, we can simplify 21/120 to 7/40 to get the final answer.
Therefore, the product of 2 7/10 x 1 11/12 is 5 7/40, which is not listed in the provided options A, B, C, or D. It appears there might be a mistake since 5 7/40 does not match any of the given choices.