Question
Hansen made a fruit salad with \( 57 / 12 \) pounds of melon and \( 1 / 3 \) of a pound of berries. How many pounds of fruit did Hansen use in all? Write your answer as a fraction or as a whole or mixed number.
Ask by Vaughn Wade. in the United States
Feb 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Hansen used \( \frac{61}{12} \) pounds of fruit in all, which is 5 \( \frac{1}{12} \) pounds.
Solution
To find the total pounds of fruit, add the amounts:
Total = (57/12) + (1/3)
Convert 1/3 to twelfths:
1/3 = 4/12
Now add:
Total = 57/12 + 4/12 = 61/12
So, Hansen used 61/12 pounds of fruit in all, which can also be written as 5 1/12 pounds.
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Simplify this solution Beyond the Answer
To find the total weight of the fruit salad, add the weight of the melon and the berries: \[ \frac{57}{12} + \frac{1}{3} \] First, convert \( \frac{1}{3} \) to a fraction with a denominator of 12: \[ \frac{1}{3} = \frac{4}{12} \] Now, add the two fractions: \[ \frac{57}{12} + \frac{4}{12} = \frac{61}{12} \] To express \( \frac{61}{12} \) as a mixed number, divide 61 by 12: \[ 61 \div 12 = 5 \quad \text{remainder } 1 \] So, \[ \frac{61}{12} = 5 \frac{1}{12} \] Hansen used a total of \( 5 \frac{1}{12} \) pounds of fruit in all.
