To determine how to express [tex]\( 4 \div 5 \)[/tex] as a fraction, we need to recall the definition of division by a fraction.
Dividing 4 by 5 means finding out how many parts of 5 fit into 4. This is directly represented by the fraction [tex]\( \frac{4}{5} \)[/tex].
Let's examine each of the given choices:
- Option A: [tex]\( \frac{4}{5} \)[/tex], which reads as "4 divided by 5". This directly matches our initial division problem of [tex]\( 4 \div 5 \)[/tex].
- Option B: [tex]\( \frac{5}{4} \)[/tex], which reads as "5 divided by 4". This is not what the original division problem specifies.
- Option C: [tex]\( 5 \times 4 \)[/tex], which represents multiplication of 5 and 4, not division.
- Option D: [tex]\( 4 \times 5 \)[/tex], which represents multiplication of 4 and 5, also not division.
Clearly, the correct representation of [tex]\( 4 \div 5 \)[/tex] as a fraction is:
A. [tex]\( \frac{4}{5} \)[/tex]
Hence, the best answer is:
A. [tex]\( \frac{4}{5} \)[/tex]
