Question: User: 3x5/7
1. **State the problem:** Calculate the value of the expression $3 \times \frac{5}{7}$.
2. **Formula used:** Multiplication of a whole number by a fraction is done by multiplying the whole number by the numerator and then dividing by the denominator:
$$3 \times \frac{5}{7} = \frac{3 \times 5}{7}$$
3. **Intermediate work:** Multiply the numerator:
$$\frac{3 \times 5}{7} = \frac{15}{7}$$
4. **Simplify the fraction:** The fraction $\frac{15}{7}$ is an improper fraction and cannot be simplified further because 15 and 7 have no common factors other than 1.
5. **Convert to mixed number (optional):**
$$\frac{15}{7} = 2 \frac{1}{7}$$ because $15 \div 7 = 2$ remainder $1$.
6. **Final answer:** The value of $3 \times \frac{5}{7}$ is $\frac{15}{7}$ or $2 \frac{1}{7}$.