To solve the problem [tex]\(34.75 - 8 \frac{1}{4}\)[/tex], follow these detailed steps:
1. Convert the mixed number to a decimal:
- The mixed number [tex]\(8 \frac{1}{4}\)[/tex] can be converted to a decimal. To do this, convert [tex]\(\frac{1}{4}\)[/tex] to a decimal.
- [tex]\(\frac{1}{4} = 0.25\)[/tex]
- Hence, [tex]\(8 \frac{1}{4} = 8 + 0.25 = 8.25\)[/tex]
2. Subtract the decimal value from the initial value:
- We now need to subtract [tex]\(8.25\)[/tex] from [tex]\(34.75\)[/tex].
- Therefore, perform the subtraction: [tex]\(34.75 - 8.25 = 26.5\)[/tex].
So, the result of [tex]\(34.75 - 8 \frac{1}{4}\)[/tex] is:
[tex]\[ 34.75 - 8.25 = 26.5 \][/tex]
Thus, the final answer is [tex]\(26.5\)[/tex].
