A bakery orders 6 1/2 pounds of gluten-free flour. Each gluten-free cake uses 3/4 pound of the special flour. How many full cakes can the bakery make from this order? Your answer should be a whole number.(1 point)
To find out how many full cakes the bakery can make, we need to divide the total amount of gluten-free flour ordered by the amount of flour used per cake.
The total amount of gluten-free flour ordered is 6 1/2 pounds, or 6.5 pounds.
The amount of flour used per cake is 3/4 pound.
To divide the total amount of flour ordered by the amount of flour used per cake, we perform the following calculation: 6.5 ÷ 3/4.
To divide a number by a fraction, we multiply the number by the reciprocal of the fraction. The reciprocal of 3/4 is 4/3.
So, 6.5 ÷ 3/4 is equal to 6.5 × 4/3.
Multiplying 6.5 by 4 gives us 26.
Multiplying 3 by 1 gives us 3.
So, 6.5 × 4/3 is equal to 26/3.
To convert an improper fraction to a mixed number, we divide the numerator (26) by the denominator (3).
26 ÷ 3 equals 8 with a remainder of 2.
So, the answer is 8, with a remainder of 2/3.
Since we cannot have a fraction of a cake, we can only make 8 full cakes from this order. Answer: \boxed{8}.