To compute the expression \( \frac{1}{n} \times \frac{n + 1}{n} \), we will follow these steps:

1. **Write out the multiplication of fractions:**

\[
\frac{1}{n} \times \frac{n + 1}{n}
\]

2. **Multiply the numerators and the denominators:**

\[
\frac{1 \cdot (n + 1)}{n \cdot n} = \frac{n + 1}{n^2}
\]

So, the simplified expression for \( \frac{1}{n} \times \frac{n + 1}{n} \) is:

\[
\frac{n + 1}{n^2}
\]

### Would you like more details or have any questions?

#### Here are 5 related questions to expand your understanding:

1. What is the result of dividing \( \frac{n + 1}{n^2} \) by \( \frac{1}{n} \)?
2. How would you simplify the expression \( \frac{n + 1}{n} \times \frac{n - 1}{n} \)?
3. Can you simplify \( \frac{n + 1}{n^2} \) further by splitting it into two separate fractions?
4. What happens to \( \frac{n + 1}{n^2} \) as \( n \) approaches infinity?
5. How do you handle multiplication of fractions when the numerator or denominator contains multiple terms?

#### **Tip:** When multiplying fractions, multiply the numerators together and the denominators together to get the product.

Learn how to compute the expression 1/n * (n + 1)/n with a step-by-step solution. This problem involves multiplying fractions and simplifying the result. Suitable for students in Grades 6-8.

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