emilio has 9\frac{3}{4} cups of flour and wants to make flour tortillas. each batch of his recipe needs…

emilio has 9\frac{3}{4} cups of flour and wants to make flour tortillas. each batch of his recipe needs 2\frac{1}{4} cups of flour. he needs to set aside \frac{1}{2} cup of flour to dust the countertop when forming the tortillas. emilio says he can make 4 full batches of tortillas with the flour he has. is emilio correct? use the drop - down menus to explain. click the arrows to choose an answer from each menu. after setting aside the flour he needs to dust the countertop, emilio has choose... cups of flour to make the tortillas. to find the number of batches of tortillas he can make, emilio should calculate choose..., which results in choose... full batches. emilio is choose...

emilio has 9\frac{3}{4} cups of flour and wants to make flour tortillas. each batch of his recipe needs 2\frac{1}{4} cups of flour. he needs to set aside \frac{1}{2} cup of flour to dust the countertop when forming the tortillas. emilio says he can make 4 full batches of tortillas with the flour he has. is emilio correct? use the drop - down menus to explain. click the arrows to choose an answer from each menu. after setting aside the flour he needs to dust the countertop, emilio has choose... cups of flour to make the tortillas. to find the number of batches of tortillas he can make, emilio should calculate choose..., which results in choose... full batches. emilio is choose...

Answer

Explanation:

Step1: Calculate available flour

First, convert the mixed - number $9\frac{3}{4}$ to an improper fraction: $9\frac{3}{4}=\frac{9\times4 + 3}{4}=\frac{39}{4}$ cups. After setting aside $\frac{1}{2}$ cup for dusting, the available flour for making tortillas is $\frac{39}{4}-\frac{1}{2}$. Since $\frac{1}{2}=\frac{2}{4}$, then $\frac{39}{4}-\frac{2}{4}=\frac{39 - 2}{4}=\frac{37}{4}$ cups.

Step2: Calculate number of batches

Each batch needs $2\frac{1}{4}$ cups of flour. Convert $2\frac{1}{4}$ to an improper fraction: $2\frac{1}{4}=\frac{2\times4+1}{4}=\frac{9}{4}$ cups. To find the number of batches, divide the available flour by the flour per batch. So we calculate $\frac{37}{4}\div\frac{9}{4}=\frac{37}{4}\times\frac{4}{9}=\frac{37}{9}=4\frac{1}{9}$.

Answer:

After setting aside the flour he needs to dust the countertop, Emilio has $\frac{37}{4}$ cups of flour to make the tortillas. To find the number of batches of tortillas he can make, Emilio should calculate $\frac{37}{4}\div\frac{9}{4}$, which results in $4$ full batches. Emilio is correct.