Question

simplify the expression.

13 [6/2 ÷ (5/2 - 4/2) + 9]

Answer 1

To simplify the expression \( 13 \left[ \frac{6}{2} \div \left( \frac{5}{2} - \frac{4}{2} \right) + 9 \right] \), let's break it down step by step.

1. **Calculate \( \frac{6}{2} \)**:
\[
\frac{6}{2} = 3
\]

2. **Calculate \( \frac{5}{2} - \frac{4}{2} \)**:
\[
\frac{5}{2} - \frac{4}{2} = \frac{5-4}{2} = \frac{1}{2}
\]

3. **Now, substitute these values back into the expression**:
\[
13 \left[ 3 \div \left( \frac{1}{2} \right) + 9 \right]
\]

4. **Calculate \( 3 \div \left( \frac{1}{2} \right) \)**:
Dividing by \( \frac{1}{2} \) is the same as multiplying by 2:
\[
3 \div \left( \frac{1}{2} \right) = 3 \times 2 = 6
\]

5. **Add 9 to this result**:
\[
6 + 9 = 15
\]

6. **Now, multiply by 13**:
\[
13 \times 15 = 195
\]

So, the simplified expression is:
\[
\boxed{195}
\]