5. A box of energy bars contains 8 bars. The total weight of the bars is \( 10 \frac{2}{3} \) ounces. If each bar has the same weight, what is the weight of one bar? \( \begin{array}{ll}\text { A. } 11 / 3 \text { ounces } & \text { B. } 12 / 3 \text { ounces } \\ \text { C. } 22 / 3 \text { ounces } & \text { D. } 62 / 3 \text { ounces }\end{array} \)
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To find the weight of one energy bar, we first convert the total weight of the bars into an improper fraction. The total weight is \( 10 \frac{2}{3} \) ounces, which equals \( \frac{32}{3} \) ounces. Now, we divide this total weight by the number of bars, which is 8: \[ \frac{32/3}{8} = \frac{32}{3} \times \frac{1}{8} = \frac{32}{24} = \frac{4}{3} \text{ ounces} \] Thus, the weight of one bar is \( \frac{4}{3} \) ounces. However, none of the options provided match this answer, so let's double-check the calculations. It's important to simplify fractions correctly, and always double-check your division when working with fractions to avoid miscalculations. If you're looking to further your understanding of fractions, delve into topics like converting mixed numbers and improper fractions, or practice with more division exercises involving fractions to build your skills!