Pizza 16

Kevin ate 5/12 of his pizza. Which is a better estimate for the amount of pizza that he ate:

A. about half of the pizza or
B. almost all of the pizza?

Correct answer:

x = A

Step-by-step explanation:

$$\begin{gathered} k=\frac{5}{12}\doteq 0.4167 \\ {\Delta }_1=\frac{1}{2}-k=\frac{1}{2}-\frac{5}{12}=\frac{6}{12}-\frac{5}{12}=\frac{6-5}{12}=\frac{1}{12}\doteq 0.0833 \\ {\Delta }_2=1-k=1-\frac{5}{12}=\frac{1\cdot 12}{12}-\frac{5}{12}=\frac{12}{12}-\frac{5}{12}=\frac{12-5}{12}=\frac{7}{12}\doteq 0.5833 \\ {\Delta }_1<{\Delta }_2 \\ x=A \end{gathered}$$

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