Question

2 - 10. mario ordered a pizza for dinner. when it arrived, mario quickly ate 1/5 of the pizza. his poodle ate 1/3 of the pizza. homework help a. draw a model of the pizza that shows the portion that has been eaten. b. write a numerical expression to show the fraction of the pizza that is left. what percent of the pizza is left?

Explanation:

Step1: Identify whole and parts

The whole pizza is considered as 1. Mario ate $\frac{1}{8}$ and the poodle ate $\frac{1}{3}$ of the pizza.

Step2: Find total eaten

To find the total portion eaten, add the fractions of pizza eaten by Mario and the poodle. We need a common - denominator. The common denominator of 8 and 3 is 24. So $\frac{1}{8}+\frac{1}{3}=\frac{1\times3}{8\times3}+\frac{1\times8}{3\times8}=\frac{3}{24}+\frac{8}{24}=\frac{3 + 8}{24}=\frac{11}{24}$.

Step3: Find portion left

Subtract the total portion eaten from 1. $1-\frac{11}{24}=\frac{24}{24}-\frac{11}{24}=\frac{24 - 11}{24}=\frac{13}{24}$.

Answer:

a. To draw a model, you can draw a circle (representing the whole pizza). Divide the circle into 24 equal - sized slices. Shade 11 slices to represent the portion that has been eaten.
b. The numerical expression to show the fraction of the pizza that is left is $1-(\frac{1}{8}+\frac{1}{3})$, and the fraction of the pizza left is $\frac{13}{24}$. To find the percentage, we use the formula $\text{Percentage}=\frac{\text{Part}}{\text{Whole}}\times100$. So $\frac{13}{24}\times100=\frac{1300}{24}\approx54.17\%$.