Final answer:
Eric's watermelon weighs 1 1/7 pounds, as it is 4/5 the weight of Dana's watermelon which weighs 1 3/7 pounds. The calculation requires converting the mixed number to an improper fraction, then multiplying by 4/5.
Step-by-step explanation:
The student is asking about the weight of Eric's watermelon, given that it weighs 4/5 the weight of Dana's watermelon, which is 1 3/7 pounds. To solve this, we first need to convert Dana's watermelon's weight into an improper fraction and then multiply by 4/5 to find Eric's watermelon's weight.
First, convert 1 3/7 to an improper fraction: (7*1)+3 = 10/7. Now, multiply this by 4/5 to find Eric's watermelon's weight:
10/7 × 4/5 = (10×4)/(7×5) = 40/35. Simplifying this fraction gives us 8/7, which is 1 1/7 pounds. Therefore, Eric's watermelon weighs 1 1/7 pounds.