High School

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Zeke found that \(\frac{3}{5}\) of a pizza was left when he got home from school.

Zeke eats half of what is left.

After Zeke is done, is there more or less than half of a pizza left uneaten? Explain your answer.

Answer :

after Zeke is done there is less than half of a pizza

Explanation

Step 1

Zeke found that 3 fifths of a pizza left when he got home from school

let

total pizza=1

so,

[tex]\begin{gathered} \text{ pizza = }\frac{3}{5}of1\text{ = }\frac{3}{5}\cdot1=\frac{3}{5} \\ \text{ pizza =}\frac{3}{5} \end{gathered}[/tex]

Step 2

when he got home from school zeke eats half of what is left

so, to know the pizza afterhe eats do the multiplication

[tex]\text{uneaten pizza=}\frac{3}{5}\cdot\frac{1}{2}=\frac{3}{10}[/tex]

now, compare

[tex]\begin{gathered} \frac{3}{10}\text{ and }\frac{1}{2} \\ \end{gathered}[/tex][tex]\begin{gathered} \frac{3}{10}<\frac{1}{2} \\ 0.3<0.5 \end{gathered}[/tex]

so,

after zeke is done there is less than half of a pizza

I hope this helps you

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Rewritten by : Barada