To solve for the quotient of 55 divided by 5, we need to carefully examine the given options.
The problem requires us to find [tex]\(\frac{55}{5}\)[/tex].
We know the result of the division [tex]\( \frac{55}{5} = 11.0 \)[/tex], which is a simplified form of 11.
Now, let's check the options given:
1. [tex]\(\frac{55}{5}=25\)[/tex]: This statement suggests that the quotient of 55 divided by 5 is 25. This is incorrect because we know that [tex]\(\frac{55}{5}\)[/tex] equals 11, not 25.
2. [tex]\(5 \div 55=11\)[/tex]: This statement suggests that the quotient of 5 divided by 55 is 11. This is incorrect because [tex]\(5 \div 55\)[/tex] is a value much less than 1, certainly not 11.
3. [tex]\(\frac{55}{5}=11\)[/tex]: This statement is correct because it accurately states that the quotient of 55 divided by 5 is 11.
4. [tex]\(55 \div 5=50\)[/tex]: This statement suggests that the quotient of 55 divided by 5 is 50. This is incorrect because [tex]\(\frac{55}{5}\)[/tex] is 11, not 50.
Therefore, the correct option is:
[tex]\(\frac{55}{5}=11\)[/tex].