Question

Evaluate the expression given below.
9 + (-3/4 + 1.25) - 6

Answer 1

To evaluate the expression \( 9 + (-\frac{3}{4} + 1.25) - 6 \), we can follow these steps:

1. **Convert 1.25 to a fraction:**
\[
1.25 = \frac{5}{4}
\]

2. **Combine the fractions:**
We need to add \(-\frac{3}{4}\) and \(\frac{5}{4}\):
\[
-\frac{3}{4} + \frac{5}{4} = \frac{-3 + 5}{4} = \frac{2}{4} = \frac{1}{2}
\]

3. **Substituting back into the expression:**
Now replace \(-\frac{3}{4} + 1.25\) with \(\frac{1}{2}\) in the original expression:
\[
9 + \frac{1}{2} - 6
\]

4. **Evaluate \(9 - 6\):**
\[
9 - 6 = 3
\]

5. **Add \(\frac{1}{2}\):**
\[
3 + \frac{1}{2} = \frac{6}{2} + \frac{1}{2} = \frac{7}{2}
\]

Thus, the value of the expression \( 9 + (-\frac{3}{4} + 1.25) - 6 \) is:
\[
\boxed{\frac{7}{2}}
\]