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.
To find the number of full cakes the bakery can make, we need to divide the total amount of gluten-free flour by the amount used for each cake: 6.5 pounds / 0.75 pounds/cake = <<6.5/0.75=8.666666666666666>>8.6666666666666667.
We can't have a fraction of a cake, so the bakery can only make 8 full cakes. Answer: \boxed{8}.
To find out how many full cakes the bakery can make from the order, we need to divide the total amount of gluten-free flour by the amount of flour used per cake.
First, let's convert the mixed number to an improper fraction.
6 1/2 can be written as (6 * 2 + 1) / 2 = 13 / 2.
Now, we divide the total amount of flour by the amount of flour used per cake:
13 / 2 ÷ 3/4
When we divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
13 / 2 * 4/3
Now, we can simplify and multiply:
(13 * 4) / (2 * 3) = 52 / 6
Next, we can simplify this fraction by dividing the numerator and the denominator by their greatest common divisor, which is 2:
(52 ÷ 2) / (6 ÷ 2) = 26 / 3
Therefore, the bakery can make 26/3 cakes from this order. However, the question asks for a whole number, so we need to find the whole number of cakes.
To do this, we perform integer division:
26 ÷ 3 = 8 remainder 2
The whole number of cakes is 8. So, the bakery can make 8 full cakes from this order.
To determine the number of full cakes the bakery can make from the order, we need to divide the total amount of gluten-free flour by the amount used per cake.
The order is for 6 1/2 pounds of gluten-free flour, which can be written as an improper fraction: 6 1/2 = 13/2.
Each cake uses 3/4 pound of the special flour.
To find the number of full cakes, we divide the total amount of flour by the amount used per cake:
(13/2) ÷ (3/4)
To divide fractions, we invert the divisor and multiply:
(13/2) x (4/3)
Multiplying the numerators and denominators, we get:
(13 x 4) / (2 x 3) = 52/6
To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor, which is 2:
(52/2) / (6/2) = 26/3
The resulting fraction, 26/3, represents the number of full cakes that can be made from the order of gluten-free flour. However, the prompt asks for a whole number.
To convert this fraction into a whole number, we perform integer division: 26 ÷ 3 = 8 with a remainder of 2.
Therefore, the bakery can make 8 full gluten-free cakes from this order.