Question: User: $\frac{5}{6} \div \frac{2}{3}$
1. **State the problem:** We need to calculate $\frac{5}{6} \div \frac{2}{3}$.
2. **Recall the division of fractions rule:** Dividing by a fraction is the same as multiplying by its reciprocal. So,
$$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$$
3. **Apply the rule:**
$$\frac{5}{6} \div \frac{2}{3} = \frac{5}{6} \times \frac{3}{2}$$
4. **Multiply the numerators and denominators:**
$$\frac{5 \times 3}{6 \times 2} = \frac{15}{12}$$
5. **Simplify the fraction:** Both numerator and denominator can be divided by 3.
$$\frac{\cancel{15}^{5}}{\cancel{12}^{4}} = \frac{5}{4}$$
6. **Final answer:**
$$\frac{5}{4}$$ or $1 \frac{1}{4}$ in mixed number form.