To find out how much flour Yousef will need to make 4 dozen cookies, follow these steps:
1. Identify the flour needed for one dozen:
The recipe states that 1 dozen cookies require [tex]\( 1 \frac{2}{3} \)[/tex] cups of flour. We first convert this mixed number to an improper fraction.
[tex]\[ 1 \frac{2}{3} = 1 + \frac{2}{3} = \frac{3}{3} + \frac{2}{3} = \frac{5}{3} \][/tex]
2. Calculate flour needed for 4 dozen:
Since we need to make 4 times the number of cookies, we multiply the flour needed for one dozen by 4:
[tex]\[ 4 \times \frac{5}{3} = \frac{4 \times 5}{3} = \frac{20}{3} \][/tex]
3. Simplify the result:
We need to convert the improper fraction [tex]\(\frac{20}{3}\)[/tex] back to a mixed number:
[tex]\[ \frac{20}{3} = 6 \frac{2}{3} \][/tex]
This is done by dividing 20 by 3, which equals 6 with a remainder of 2. So, 20 divided by 3 gives 6 whole parts and the remainder 2 becomes the numerator of the fraction, with 3 as the denominator.
Therefore, Yousef will need [tex]\( 6 \frac{2}{3} \)[/tex] cups of flour to make 4 dozen cookies.
The correct answer is
[tex]\[ 6 \frac{2}{3} \][/tex]
