Answer: A. 165
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Explanation:
Step one is to convert the mixed number to an improper fraction
[tex]a \frac{b}{c} = \frac{a*b+c}{c}\\\\82 \frac{2}{3} = \frac{82*3+2}{3}\\\\82 \frac{2}{3} = \frac{248}{3}\\\\[/tex]
We'll divide that result by 1/2
[tex]\frac{248}{3} \div \frac{1}{2}\\\\\frac{248}{3} \times \frac{2}{1}\\\\\frac{248\times 2}{3\times 1}\\\\\frac{496}{3}\\\\[/tex]
Dividing by 1/2 is the same as multiplying by 2.
Then use your calculator to find that
[tex]\frac{496}{3} \approx 165.333\\\\[/tex]
Ignore the stuff after the decimal point.
They can make 165 full burgers, and they'll have a bit of leftover meat (which unfortunately isn't enough to make the 166th burger).
