To convert the fraction [tex]\( \frac{7}{4} \)[/tex] into a mixed number, follow these steps:
1. Divide the numerator by the denominator to find the integer part of the mixed number. Here, 7 divided by 4 is 1 with a remainder.
2. Determine the remainder after the division. When 7 is divided by 4, the remainder is 3.
3. Form the mixed number using the integer part and the remainder. The mixed number combines the integer part (which is 1) with the remaining fraction (the remainder over the denominator). Therefore, the mixed number for [tex]\( \frac{7}{4} \)[/tex] is [tex]\( 1 \frac{3}{4} \)[/tex].
Thus, the best answer is:
B. [tex]\( 1 \frac{1}{4} \)[/tex]
Note: While identifying the closest answer option, it appears that there is a typographical error in the answer options provided. The correct option should be accurately represented in the correct fraction form for better clarity.
