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 used per cake.
6 1/2 ÷ 3/4 = (13/2) ÷ (3/4)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(13/2) * (4/3) = 52/6
The fraction 52/6 can be simplified:
52/6 = 26/3
Since we want a whole number, we divide the numerator (26) by the denominator (3):
26 ÷ 3 = 8 remainder 2
Therefore, the bakery can make 8 full cakes from this order. Answer: \boxed{8}.
To find the number of full cakes that can be made, we need to divide the total amount of gluten-free flour by the amount needed for each cake.
The bakery ordered 6 1/2 pounds of gluten-free flour, which can also be written as 6 + 1/2 pounds.
To add the whole number part and the fractional part, we convert the mixed number to an improper fraction.
6 1/2 = (6 * 2 + 1) / 2 = 13/2 pounds
Each cake uses 3/4 pound of flour.
To find the number of full cakes that can be made, we divide the total amount of flour by the amount needed for each cake:
(13/2) / (3/4) = (13/2) * (4/3) = (13 * 4) / (2 * 3) = 52/6
Now we simplify the fraction:
52/6 = 8 remainder 4
This means the bakery can make 8 full cakes from the order, with 4/6 (or 2/3) of a cake worth of flour remaining.
Therefore, the bakery can make 8 full cakes from this order.
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 used per cake.
First, we need to convert the mixed number "6 1/2" into an improper fraction. To do this, we multiply the whole number (6) by the denominator of the fraction (2), which gives us 12. Then we add the numerator (1) to get 13. So, "6 1/2" can be written as 13/2.
Now, we divide 13/2 (the total amount of gluten-free flour) by 3/4 (the amount used per cake). To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 3/4 is 4/3.
So, the equation becomes:
(13/2) ÷ (3/4) = (13/2) × (4/3)
To multiply fractions, we multiply the numerators (13 × 4) to get 52, and we multiply the denominators (2 × 3) to get 6.
So, (13/2) × (4/3) = 52/6.
Now, we need to simplify the fraction. Both 52 and 6 are divisible by 4:
52 ÷ 4 = 13
6 ÷ 4 = 3
So, 52/6 simplifies to 13/3.
However, our answer should be a whole number. To convert the fraction 13/3 into a mixed number, we divide the numerator (13) by the denominator (3). The quotient (the whole number) is 4, and the remainder (the numerator of the fraction part) is 1.
So, 13/3 can be written as the mixed number "4 1/3".
Therefore, the bakery can make 4 full cakes from this order.