Answer :
Let's carefully walk through the problem step-by-step.
1. Understanding the Initial Fraction: First, Melodi eats [tex]\(\frac{3}{8}\)[/tex] of the whole pizza. This leaves a portion of the pizza that has not been eaten.
2. Finding the Remaining Fraction: To determine how much of the pizza is left, we calculate the fraction remaining by subtracting the fraction Melodi ate from the whole pizza:
[tex]\[ 1 - \frac{3}{8} \][/tex]
The whole pizza is represented by 1 (or [tex]\(\frac{8}{8}\)[/tex]), so the calculation is:
[tex]\[ \frac{8}{8} - \frac{3}{8} = \frac{5}{8} \][/tex]
Thus, [tex]\(\frac{5}{8}\)[/tex] of the pizza remains.
3. Dividing the Remaining Fraction: The remaining [tex]\(\frac{5}{8}\)[/tex] of the pizza is then divided equally between Melodi's two friends. To find the fraction each friend gets, we divide [tex]\(\frac{5}{8}\)[/tex] by 2:
[tex]\[ \left(\frac{5}{8}\right) \div 2 = \frac{5}{8} \times \frac{1}{2} = \frac{5}{16} \][/tex]
Each of Melodi's friends will receive [tex]\(\frac{5}{16}\)[/tex] of the pizza.
4. Converting the Fraction to a Percentage: Finally, let's convert the fraction [tex]\(\frac{5}{16}\)[/tex] to a percentage. To do this, we multiply the fraction by 100:
[tex]\[ \left(\frac{5}{16}\right) \times 100 = 31.25\% \][/tex]
Therefore, each of Melodi's friends receives [tex]\(31.25\%\)[/tex] of the pizza. This corresponds to option C.
1. Understanding the Initial Fraction: First, Melodi eats [tex]\(\frac{3}{8}\)[/tex] of the whole pizza. This leaves a portion of the pizza that has not been eaten.
2. Finding the Remaining Fraction: To determine how much of the pizza is left, we calculate the fraction remaining by subtracting the fraction Melodi ate from the whole pizza:
[tex]\[ 1 - \frac{3}{8} \][/tex]
The whole pizza is represented by 1 (or [tex]\(\frac{8}{8}\)[/tex]), so the calculation is:
[tex]\[ \frac{8}{8} - \frac{3}{8} = \frac{5}{8} \][/tex]
Thus, [tex]\(\frac{5}{8}\)[/tex] of the pizza remains.
3. Dividing the Remaining Fraction: The remaining [tex]\(\frac{5}{8}\)[/tex] of the pizza is then divided equally between Melodi's two friends. To find the fraction each friend gets, we divide [tex]\(\frac{5}{8}\)[/tex] by 2:
[tex]\[ \left(\frac{5}{8}\right) \div 2 = \frac{5}{8} \times \frac{1}{2} = \frac{5}{16} \][/tex]
Each of Melodi's friends will receive [tex]\(\frac{5}{16}\)[/tex] of the pizza.
4. Converting the Fraction to a Percentage: Finally, let's convert the fraction [tex]\(\frac{5}{16}\)[/tex] to a percentage. To do this, we multiply the fraction by 100:
[tex]\[ \left(\frac{5}{16}\right) \times 100 = 31.25\% \][/tex]
Therefore, each of Melodi's friends receives [tex]\(31.25\%\)[/tex] of the pizza. This corresponds to option C.
