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A fancy restaurant put out small dishes of butter at each table. They divided 7 1/4 pounds of butter evenly and filled 2 dishes. How much butter did they put in each dish?
Write your answer as a fraction or as a whole or mixed number.
______ pounds
To find out how much butter was put in each dish, we need to divide the total amount of butter by the number of dishes.
1. Start with the total amount of butter: 7 1/4 pounds.
2. First, convert 7 1/4 to an improper fraction.
– Multiply the whole number (7) by the denominator (4): 7 × 4 = 28.
– Add the numerator (1): 28 + 1 = 29, so 7 1/4 = 29/4.
3. Now, divide this by the number of dishes (2):
[
frac{29/4}{2} = frac{29/4}{2/1} = frac{29}{4} times frac{1}{2} = frac{29}{8}.
]
4. To express (frac{29}{8}) as a mixed number, divide 29 by 8, which gives 3 (since 8 × 3 = 24) with a remainder of 5.
– So, (frac{29}{8} = 3 frac{5}{8}).
Thus, they put (3 frac{5}{8}) pounds of butter in each dish.