Question 11 Divide. Simplify your answer and write as a proper fraction, improper fraction, or whole number. \( \frac{2}{3} \div 4 \)
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To divide \( \frac{2}{3} \) by 4, you can convert the whole number 4 into a fraction by writing it as \( \frac{4}{1} \). Then, remember that dividing by a fraction is the same as multiplying by its reciprocal. So, the expression becomes: \[ \frac{2}{3} \div \frac{4}{1} = \frac{2}{3} \times \frac{1}{4} = \frac{2 \times 1}{3 \times 4} = \frac{2}{12} \] Now, simplify \( \frac{2}{12} \) by dividing both the numerator and the denominator by 2: \[ \frac{2 \div 2}{12 \div 2} = \frac{1}{6} \] So, the simplified answer is \( \frac{1}{6} \).