Which of the following correctly shows the quotient of 75 divided by 5?

A. [tex]75 \div 5=70[/tex]

B. [tex]\frac{5}{75}=12[/tex]

C. [tex]\frac{75}{5}=15[/tex]

D. [tex]75 \div 5=25[/tex]



Answer :

Let's carefully examine each of the given options to determine which one correctly shows the quotient of [tex]\(75\)[/tex] divided by [tex]\(5\)[/tex].

1. Option 1: [tex]\(75 \div 5 = 70\)[/tex]

To verify this, we need to divide [tex]\(75\)[/tex] by [tex]\(5\)[/tex].

[tex]\[ 75 \div 5 = 15 \][/tex]

So, [tex]\(75 \div 5\)[/tex] does not equal [tex]\(70\)[/tex]. Therefore, this option is incorrect.

2. Option 2: [tex]\(\frac{5}{75} = 12\)[/tex]

To evaluate this, we divide [tex]\(5\)[/tex] by [tex]\(75\)[/tex].

[tex]\[ \frac{5}{75} = \frac{1}{15} \][/tex]

This result is clearly not [tex]\(12\)[/tex]. Therefore, this option is incorrect.

3. Option 3: [tex]\(\frac{75}{5} = 15\)[/tex]

To verify this, we divide [tex]\(75\)[/tex] by [tex]\(5\)[/tex].

[tex]\[ \frac{75}{5} = 15 \][/tex]

This result is correct. Therefore, this option is correct.

4. Option 4: [tex]\(75 \div 5 = 25\)[/tex]

To verify this, we divide [tex]\(75\)[/tex] by [tex]\(5\)[/tex].

[tex]\[ 75 \div 5 = 15 \][/tex]

So, [tex]\(75 \div 5\)[/tex] does not equal [tex]\(25\)[/tex]. Therefore, this option is incorrect.

Having verified each option, the correct one is:

[tex]\[ \boxed{3 : \frac{75}{5} = 15} \][/tex]