Certainly! Let's work through the problem step-by-step.
Given expression to evaluate:
[tex]\[ 6 \frac{1}{2} \div (-13) \][/tex]
### Step 1: Convert the Mixed Number to an Improper Fraction
First, let's convert the mixed number [tex]\( 6 \frac{1}{2} \)[/tex] to an improper fraction or a decimal:
[tex]\[ 6 \frac{1}{2} = 6 + \frac{1}{2} \][/tex]
Convert [tex]\( \frac{1}{2} \)[/tex] to a decimal:
[tex]\[ \frac{1}{2} = 0.5 \][/tex]
So,
[tex]\[ 6 + 0.5 = 6.5 \][/tex]
### Step 2: Write the Division Expression
Now, we need to divide [tex]\( 6.5 \)[/tex] by [tex]\( -13 \)[/tex]:
[tex]\[ 6.5 \div (-13) \][/tex]
### Step 3: Perform the Division
Let's calculate the division:
[tex]\[ 6.5 \div (-13) = -0.5 \][/tex]
Hence the result of the division is [tex]\( -0.5 \)[/tex].
### Conclusion
Putting it all together:
1. Convert [tex]\( 6 \frac{1}{2} \)[/tex] to [tex]\( 6.5 \)[/tex].
2. Perform the division [tex]\( 6.5 \div (-13) \)[/tex].
3. The result is [tex]\( -0.5 \)[/tex].
Therefore, the solution to [tex]\( 6 \frac{1}{2} \div (-13) \)[/tex] is:
[tex]\[ -0.5 \][/tex]
