To find the correct representation of [tex]\(4 \div 5\)[/tex] as a fraction, let's understand what division indicates in terms of fractions.
1. When we say [tex]\(4 \div 5\)[/tex], we are essentially looking to express how many times 5 fits into 4, which is the same as putting 4 over 5 in fraction form.
2. The fraction form of a division problem [tex]\(a \div b\)[/tex] is written as [tex]\( \frac{a}{b} \)[/tex].
On applying this to our problem:
- [tex]\(4 \div 5\)[/tex] can be written as [tex]\( \frac{4}{5} \)[/tex].
Let's analyze the options given to choose the correct answer:
A. [tex]\(5 \times 4\)[/tex]: Multiplication does not correctly express the division operation.
B. [tex]\( \frac{4}{5} \)[/tex]: This is the correct representation of [tex]\(4 \div 5\)[/tex].
C. [tex]\( \frac{5}{4} \)[/tex]: This represents [tex]\(5 \div 4\)[/tex], which is not what we need.
D. [tex]\(4 \times 5\)[/tex]: Again, multiplication does not represent the division.
Therefore, the best answer for the representation of [tex]\(4 \div 5\)[/tex] as a fraction is:
B. [tex]\(4 / 5\)[/tex]
This matches our calculation, confirming that the correct choice is indeed option B.
