To solve the problem [tex]\( 13 \frac{3}{4} - 8 \frac{1}{2} \)[/tex], we can follow these steps:
1. Convert Mixed Numbers to Improper Fractions:
- For the first mixed number:
[tex]\( 13 \frac{3}{4} \)[/tex].
Convert it to an improper fraction:
[tex]\[
13 \frac{3}{4} = 13 + \frac{3}{4} = 13 + 0.75 = 13.75
\][/tex]
- For the second mixed number:
[tex]\( 8 \frac{1}{2} \)[/tex].
Convert it to an improper fraction:
[tex]\[
8 \frac{1}{2} = 8 + \frac{1}{2} = 8 + 0.5 = 8.5
\][/tex]
2. Subtract the Improper Fractions:
Now subtract the second improper fraction from the first:
[tex]\[
13.75 - 8.5 = 5.25
\][/tex]
Therefore, the final result is [tex]\( 5.25 \)[/tex].
In conclusion, the answer to the problem [tex]\( 13 \frac{3}{4} - 8 \frac{1}{2} \)[/tex] is [tex]\( 5.25 \)[/tex].
