Question

hernando ate \\( \frac { 2 } { 8 } \\) of a pizza for a dinner. he gave his 6 friends the rest of the pizza and told them to share it equally. to determine the fraction of the whole pizza that each of his friends received, hernando performed the calculations below. \\( \frac { 6 } { 8 } + 6 = \frac { ( 6 + 6 ) } { 8 } = \frac { 1 } { 8 } \\) he concluded that each person received \\( \frac { 1 } { 8 } \\) of the whole pizza. are hernandos calculations correct? explain why or why not. yes, they are correct. hernando divided 6 by 6. yes, they are correct. hernando divided \\( \frac { 2 } { 8 } \\) by 6. no, they are not correct. hernando should have multiplied by 6, not divided by 6. no, they are not correct. hernando should have divided 8 by 6, not 6 by 6.

Explanation:

Step1: Calculate the remaining pizza

Hernando ate $\frac{2}{8}$ of the pizza. The remaining pizza is $1-\frac{2}{8}=\frac{8 - 2}{8}=\frac{6}{8}$.

Step2: Divide the remaining pizza among 6 friends

To find out how much each friend gets, we divide $\frac{6}{8}$ by 6. Using the rule $\frac{a}{b}\div c=\frac{a}{b\times c}$, we have $\frac{6}{8}\div6=\frac{6}{8\times6}=\frac{1}{8}$. But Hernando's calculation $\frac{6}{8}+6=\frac{(6 + 6)}{8}$ is wrong. The correct operation is division, not adding 6 to the numerator.

Answer:

No, they are not correct. Hernando should have divided 8 by 6, not 6 by 6.