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