Question

4. Students in a class ordered 12 pizzas for lunch and each pizza is cut in to four pieces. Every one took one piece each and there were three pieces left. What fraction of pizza was eaten by the students give answer with all steps

Answer 1

Dear Student,

$$\begin{gathered} \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{pizzas}=12 \\ \mathrm{No}.\mathrm{of}\mathrm{piece}\mathrm{in}\mathrm{each}\mathrm{of}\mathrm{the}\mathrm{pizza}=4 \\ \mathrm{Total}\mathrm{no}\mathrm{of}\mathrm{pizza}\mathrm{pieces}=12\times 4=48 \\ \mathrm{No}\mathrm{of}\mathrm{pizza}\mathrm{pieces}\mathrm{left}\mathrm{in}\mathrm{the}\mathrm{end}=3 \\ \mathrm{So},\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{pizza}\mathrm{pieces}\mathrm{eaten}=48-3=45 \\ \mathrm{Thus},\mathrm{the}\mathrm{fraction}\mathrm{of}\mathrm{pizza}\mathrm{eaten}\mathrm{is}\mathrm{given}\mathrm{by} \\ \frac{\mathrm{No}.\mathrm{of}\mathrm{pizza}\mathrm{pieces}\mathrm{eaten}}{\mathrm{Total}\mathrm{no}.\mathrm{of}\mathrm{pizza}\mathrm{pieces}}=\frac{45}{48}=\frac{\mathbf{15}}{\mathbf{16}} \end{gathered}$$

Regards