To determine how the expression [tex]\(4 \div 5\)[/tex] can be written as a fraction, let's break it down step by step.
1. Understanding Division as a Fraction:
- The division [tex]\( \div \)[/tex] represents the fraction of the numerator divided by the denominator.
- So, [tex]\(4 \div 5\)[/tex] means that we are dividing 4 by 5.
2. Writing the Fraction:
- When we write 4 divided by 5 as a fraction, we place 4 (the dividend) in the numerator and 5 (the divisor) in the denominator.
- This fraction is written as [tex]\( \frac{4}{5} \)[/tex].
3. Choosing the Correct Option:
- Option A [tex]\(5 \times 4\)[/tex] represents the multiplication of 5 and 4, which is incorrect.
- Option B [tex]\(5 / 4\)[/tex] represents 5 divided by 4, which is not what we have.
- Option C [tex]\(4 \times 5\)[/tex] represents the multiplication of 4 and 5, which is incorrect.
- Option D [tex]\( \frac{4}{5} \)[/tex] accurately represents 4 divided by 5 as a fraction.
So, the best answer is:
D. [tex]\( \frac{4}{5} \)[/tex].
