The expression given is:

\[
\frac{b}{a} - 1
\]

To simplify, rewrite \( 1 \) as \( \frac{a}{a} \) (since \( \frac{a}{a} = 1 \)):

\[
\frac{b}{a} - 1 = \frac{b}{a} - \frac{a}{a}
\]

Now, combine the two fractions since they have a common denominator:

\[
\frac{b}{a} - \frac{a}{a} = \frac{b - a}{a}
\]

Thus, the simplified expression is:

\[
\frac{b - a}{a}
\]

Would you like more details or have any questions?

Here are some related questions to explore further:
1. How do you add or subtract fractions with different denominators?
2. How can you express other constants as fractions?
3. How does this expression behave when \( a = b \)?
4. What happens if \( a = 0 \) in this expression?
5. Can this expression be used in solving real-world problems, like proportions?

**Tip:** Always try to find common denominators when adding or subtracting fractions.

Learn how to simplify the algebraic expression (b/a) - 1, step-by-step. This problem focuses on algebraic fractions, fraction subtraction, and combining terms with common denominators. Suitable for students in Grades 6-8.

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