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The problem asks for the value of the expression:

\[
t \times 2 \frac{1}{2}
\]

where \( t = 2 \frac{2}{7} \).

### Steps:

1. **Convert the mixed numbers to improper fractions:**
   - \( 2 \frac{1}{2} = \frac{5}{2} \)
   - \( 2 \frac{2}{7} = \frac{16}{7} \)

2. **Substitute the value of \( t \):**
   - Now, the expression becomes:
   \[
   \frac{16}{7} \times \frac{5}{2}
   \]

3. **Multiply the fractions:**
   \[
   \frac{16 \times 5}{7 \times 2} = \frac{80}{14}
   \]

4. **Simplify the fraction:**
   \[
   \frac{80}{14} = \frac{40}{7}
   \]

So, the value of the expression is \( \frac{40}{7} \), which is also \( 5 \frac{5}{7} \) as a mixed number.

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you convert a mixed number into an improper fraction?
2. What is the process for multiplying two fractions?
3. How can you simplify fractions?
4. What is the difference between a proper and improper fraction?
5. Can you explain how to convert an improper fraction back into a mixed number?

**Tip:** When multiplying fractions, you multiply the numerators together and the denominators together, then simplify if possible!

Find the value of the expression t × 2 1/2 for t = 2 2/7.

Learn how to multiply mixed numbers by converting them into improper fractions. This problem involves multiplying fractions, converting mixed numbers to improper fractions, and simplifying. Suitable for students in Grades 5-7.

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