To solve the problem [tex]\(34.75 - 8 \frac{1}{4}\)[/tex], follow these steps:
1. Convert Mixed Fraction to Decimal:
The mixed fraction [tex]\(8 \frac{1}{4}\)[/tex] consists of an integer part [tex]\(8\)[/tex] and a fractional part [tex]\(\frac{1}{4}\)[/tex].
- Calculate [tex]\(\frac{1}{4}\)[/tex]:
[tex]\[
\frac{1}{4} = 0.25
\][/tex]
- Add this to the integer part:
[tex]\[
8 + 0.25 = 8.25
\][/tex]
2. Perform the Subtraction:
Now, subtract the result you just calculated from the initial value:
[tex]\[
34.75 - 8.25
\][/tex]
- First, subtract the whole number parts:
[tex]\[
34 - 8 = 26
\][/tex]
- Then, subtract the decimal parts:
[tex]\[
0.75 - 0.25 = 0.50
\][/tex]
- Add these results together:
[tex]\[
26 + 0.50 = 26.50
\][/tex]
Thus, [tex]\(34.75 - 8 \frac{1}{4} = 26.50\)[/tex].
The correct answer is:
C [tex]\(\quad 26.50\)[/tex]
