1. The problem asks to write the phrase "A number divided by 60" as a variable expression using $x$ to represent "a number." 2. The phrase "A number divided by 60" means we take the number $x$ and divide it by 60. 3. The correct algebraic expression for this is $$\frac{x}{60}$$. 4. Let's review the options: - $60x$ means 60 times the number, which is incorrect. - $\frac{60}{x}$ means 60 divided by the number, which reverses the division. - $x - 60$ means the number minus 60, which is subtraction, not division. - $\frac{x}{60}$ means the number divided by 60, which matches the phrase exactly. 5. Therefore, the correct expression is $$\frac{x}{60}$$.