Final answer:
Frank's two pork roasts have a combined weight of 15 and 17/24 pounds. To calculate this, the fractions were converted to a common denominator and added to the whole numbers respectively.
Step-by-step explanation:
To find the total weight of the pork roasts that Frank bought, we need to add the weight of each roast together. Since the weights are given in pounds and fractions thereof, we should add the two weights while paying attention to the denominators. We have one roast that weighs five and seven-eighths pounds and another that weighs nine and five-sixths pounds.
To add these two weights, convert the fractions to a common denominator which would be 24 in this case, as it is the least common multiple of 8 and 6. The weight of the first roast will be 5 + (21/24) pounds, and the weight of the second roast will be 9 + (20/24) pounds. Adding these together:
- 5 pounds + 9 pounds = 14 pounds
- (21/24) + (20/24) = (41/24) which is 1 and 17/24 pounds
Now, add the whole pounds and the fractional part:
- 14 pounds + 1 pound = 15 pounds
- Add the leftover fraction: 17/24 pounds
The total weight is therefore 15 pounds and 17/24 pounds, which simplifies to 15 and 17/24 pounds. Given that 1 pound equals 16 ounces, if needed, we could also convert this to ounces using multiplication for further calculations or comparisons.