To determine which of the options shows a number in fraction form, let's analyze each option step by step:
A. [tex]\( \sqrt{2} \)[/tex]
- [tex]\( \sqrt{2} \)[/tex] is the square root of 2. It is an irrational number, not expressed in fraction form. It cannot be written as a ratio of two integers.
B. 3
- The number 3 is a whole number, an integer. Although any whole number can theoretically be written as a fraction (e.g., [tex]\( \frac{3}{1} \)[/tex]), it is usually not considered as being in fraction form directly.
C. 3.7
- The number 3.7 is a decimal. While it can be converted to a fraction (e.g., [tex]\( \frac{37}{10} \)[/tex]), it is not presented in fraction form here.
D. [tex]\( 3 / 7 \)[/tex]
- [tex]\( 3 / 7 \)[/tex] is presented explicitly as a fraction. This is the ratio of two integers, 3 and 7.
Based on this analysis, the option that shows a number in fraction form is:
D. [tex]\( 3 / 7 \)[/tex]
Thus, the best answer is:
D. [tex]\( 3 / 7 \)[/tex]