Final answer:
Jamie has 7/10 of a pound of chicken and 4/9 of a pound of sausage. To find the total, convert to a common denominator, sum the fractions, and simplify. The total pounds of chicken and sausage Jamie has is approximately 1.1 pounds, answer (a).
Step-by-step explanation:
The student's question about combining different weights of chicken and sausage involves basic fraction addition which is a part of Mathematics. To find the total weight of the chicken and sausage Jamie has, we simply need to add the two fractions together.
Jamie has 7/10 of a pound of chicken and 4/9 of a pound of sausage. To add these fractions, they must have a common denominator. By finding the least common multiple of 10 and 9, which is 90, we can convert both fractions to have this common denominator:
- Chicken: (7/10) x (9/9) = 63/90
- Sausage: (4/9) x (10/10) = 40/90
Adding these together gives:
63/90 + 40/90 = 103/90 pounds
To convert this improper fraction into a mixed number, we divide 103 by 90, resulting in 1 with a remainder of 13. The remainder over the denominator gives us:
1 13/90 pounds
To simplify our answer, we can convert 13/90 into its decimal form which is approximately 0.144. Adding this to the whole number gives us:
1 + 0.144 = 1.144 pounds
Therefore, Jamie has approximately 1.144 pounds of chicken and sausage combined, which rounded to the nearest tenth is 1.1 pounds. So, the correct answer to the student's question is: (a) 1.1 pounds.