https://file.aiquickdraw.com/mathbot/file/1729144602153saurfbs6.jpg

The equation provided is:

\[
\frac{3}{2} + t = \frac{1}{2}
\]

### Solving for \( t \):

1. Subtract \(\frac{3}{2}\) from both sides to isolate \( t \):

\[
t = \frac{1}{2} - \frac{3}{2}
\]

2. Perform the subtraction:

\[
t = \frac{1 - 3}{2} = \frac{-2}{2} = -1
\]

### Final solution:
\[
t = -1
\]

Would you like a detailed explanation of the steps, or do you have any other questions?

Here are five related questions to explore further:
1. How can we solve similar equations with different fractions?
2. What happens if the fractions have different denominators?
3. Can you represent this equation graphically on a number line?
4. How can you check your solution once you have solved for \( t \)?
5. What if the equation involved multiplying the fractions?

**Tip:** When subtracting or adding fractions, always ensure the denominators are the same before performing the operation!

Learn how to solve the linear equation 3/2 + t = 1/2 step-by-step. This problem focuses on algebraic manipulation involving fractions and is suitable for students in Grades 6-8.

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