Answered

Which of the following correctly shows the quotient of 80 divided by 5?

A. [tex]$80 \div 5 = 75$[/tex]
B. [tex]$\frac{80}{5} = 14$[/tex]
C. [tex]$5 \div 80 = 16$[/tex]
D. [tex]$\frac{80}{5} = 16$[/tex]



Answer :

To find the correct quotient of 80 divided by 5, let's follow these steps:

1. Understand the Division: The problem is asking for the result of dividing 80 by 5. In mathematical terms, this can be written as [tex]\( \frac{80}{5} \)[/tex] or [tex]\( 80 \div 5 \)[/tex].

2. Identify the Options:
- Option 1: [tex]\( 80 \div 5 = 75 \)[/tex]
- Option 2: [tex]\( \frac{80}{5} = 14 \)[/tex]
- Option 3: [tex]\( 5 \div 80 = 16 \)[/tex]
- Option 4: [tex]\( \frac{80}{5} = 16 \)[/tex]

3. Evaluate Each Option:
- Option 1: [tex]\( 80 \div 5 = 75 \)[/tex]. This is incorrect since 75 is not the quotient of 80 divided by 5.
- Option 2: [tex]\( \frac{80}{5} = 14 \)[/tex]. This is incorrect as well.
- Option 3: [tex]\( 5 \div 80 = 16 \)[/tex]. This is incorrect because 5 divided by 80 should result in a fraction much less than 1.
- Option 4: [tex]\( \frac{80}{5} = 16 \)[/tex]. This option correctly shows the quotient.

4. Confirm the Correct Option: After evaluating all options, we see that the only correct choice is:
- Option 4: [tex]\( \frac{80}{5} = 16 \)[/tex]

Thus, the correct statement is:

[tex]\[ \frac{80}{5} = 16 \][/tex]