To convert the fraction [tex]\( \frac{7}{4} \)[/tex] into a mixed number, let's follow the steps:
1. Determine the whole number part:
- Divide the numerator (7) by the denominator (4).
- 7 divided by 4 is 1 with a remainder.
2. Determine the fractional part:
- The remainder from the division is 3.
- The fractional part is thus [tex]\( \frac{3}{4} \)[/tex].
3. Combine the whole number and the fractional part:
- The mixed number is [tex]\( 1 \frac{3}{4} \)[/tex].
So, the correct answer is:
C. [tex]\( 1 \frac{3}{4} \)[/tex].