Question: 269 is the same as 121 subtracted from the product of $n$ and 314
1. **State the problem:** We are given that 269 is equal to 121 subtracted from the product of $n$ and 314.
2. **Write the equation:** This translates to the equation $$269 = n \times 314 - 121$$.
3. **Isolate $n$:** To solve for $n$, add 121 to both sides:
$$269 + 121 = n \times 314$$
4. **Simplify the left side:**
$$390 = n \times 314$$
5. **Divide both sides by 314 to solve for $n$:**
$$n = \frac{390}{314}$$
6. **Simplify the fraction:**
$$n = \frac{\cancel{390}}{\cancel{314}} = \frac{195 \times 2}{157 \times 2} = \frac{195}{157}$$
Since 195 and 157 have no common factors other than 1, the fraction is simplified.
7. **Final answer:**
$$n = \frac{195}{157}$$