8. Solve the word problem. Simplify, if possible.
Maurice had $3 \frac{2}{3}$ tons of feed that needed to be distributed into troughs. If Maurice had $5 \frac{1}{2}$ troughs to fill, how many tons of feed went into each trough? $\frac{5}{6}$ ton of feed per trough
$\frac{1}{2}$ ton of feed per trough
$\frac{2}{3}$ ton of feed per trough
$\frac{1}{6}$ ton of feed per trough

Answer

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Answer

\boxed{\frac{2}{3}} \text{ ton of feed per trough}

Steps

Step 1 ：Convert the mixed numbers into improper fractions: $3 \frac{2}{3} = \frac{11}{3}$ tons and $5 \frac{1}{2} = \frac{11}{2}$ troughs

Step 2 ：Divide the total feed by the number of troughs: $\frac{\frac{11}{3}}{\frac{11}{2}} = \frac{11}{3} \times \frac{2}{11} = \frac{2}{3}$

Step 3 ：\boxed{\frac{2}{3}} \text{ ton of feed per trough}