Respuesta :

ANSWER:  

Damarian ate  [tex]\frac{5}{8}[/tex] pizzas out of [tex]\frac{11}{8}[/tex] pizzas

SOLUTION:

Given, Damarian arrived to the party late 4  

And realized there was only [tex]1\frac{3}{8}[/tex] pizzas left  

He ate [tex]\frac{5}{11}[/tex] of it  

We need to find how much did he ate.

Now, the value of left over pizza is in mixed fraction, let us convert it into improper fraction.

[tex]1 \frac{3}{8}=\frac{1 \times 8+3}{8}=\frac{11}{8}[/tex]

So, [tex]\frac{11}{8}[/tex] are there by the time he came, and he ate [tex]\frac{5}{11}[/tex] of them.

Now, pizzas ate by him = left over pizza [tex]\times[/tex] fraction that he ate.

[tex]=\frac{11}{8} \times \frac{5}{11}[/tex] = [tex]=\frac{5}{8}[/tex]

Hence Damarian ate  [tex]\frac{5}{8}[/tex] pizzas out of [tex]\frac{11}{8}[/tex] pizzas

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